46191081148128 has 1008 divisors, whose sum is σ = 167260885258320. Its totient is φ = 12479869366272.

The previous prime is 46191081148127. The next prime is 46191081148129. The reversal of 46191081148128 is 82184118019164.

46191081148128 is a `hidden beast` number, since 4 + 61 + 9 + 1 + 0 + 81 + 1 + 481 + 28 = 666.

46191081148128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46191081148127) and next prime (46191081148129).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46191081148127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 14182092676 + ... + 14182095932.

It is an arithmetic number, because the mean of its divisors is an integer number (165933417915).

Almost surely, 2^{46191081148128} is an apocalyptic number.

46191081148128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46191081148128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83630442629160).

46191081148128 is an abundant number, since it is smaller than the sum of its proper divisors (121069804110192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46191081148128 is a wasteful number, since it uses less digits than its factorization.

46191081148128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3971 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 54.

The spelling of 46191081148128 in words is "forty-six trillion, one hundred ninety-one billion, eighty-one million, one hundred forty-eight thousand, one hundred twenty-eight".