46855937748480 has 480 divisors, whose sum is σ = 175074625756800. Its totient is φ = 10659152609280.

The previous prime is 46855937748449. The next prime is 46855937748481. The reversal of 46855937748480 is 8484773955864.

46855937748480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 46855937748396 and 46855937748405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46855937748481) 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 47 ways as a sum of consecutive naturals, for example, 79108471 + ... + 79698569.

It is an arithmetic number, because the mean of its divisors is an integer number (364738803660).

Almost surely, 2^{46855937748480} is an apocalyptic number.

46855937748480 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 46855937748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87537312878400).

46855937748480 is an abundant number, since it is smaller than the sum of its proper divisors (128218688008320).

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

46855937748480 is a wasteful number, since it uses less digits than its factorization.

46855937748480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590350 (or 590327 counting only the distinct ones).

The product of its (nonzero) digits is 6502809600, while the sum is 78.

The spelling of 46855937748480 in words is "forty-six trillion, eight hundred fifty-five billion, nine hundred thirty-seven million, seven hundred forty-eight thousand, four hundred eighty".