46144400163840 has 1848 divisors, whose sum is σ = 184769757938304. Its totient is φ = 11042766028800.

The previous prime is 46144400163817. The next prime is 46144400163853. The reversal of 46144400163840 is 4836100444164.

46144400163840 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 4 + 4 + 0 + 0 + 1 + 638 + 4 + 0 = 666.

It is a super-3 number, since 3×46144400163840³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 37485296025 + ... + 37485297255.

It is an arithmetic number, because the mean of its divisors is an integer number (99983635248).

Almost surely, 2^{46144400163840} is an apocalyptic number.

46144400163840 is a gapful number since it is divisible by the number (40) 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 46144400163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92384878969152).

46144400163840 is an abundant number, since it is smaller than the sum of its proper divisors (138625357774464).

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

46144400163840 is a wasteful number, since it uses less digits than its factorization.

46144400163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 46144400163840 in words is "forty-six trillion, one hundred forty-four billion, four hundred million, one hundred sixty-three thousand, eight hundred forty".