46404056160 has 576 divisors, whose sum is σ = 202781988864. Its totient is φ = 9380966400.

The previous prime is 46404056141. The next prime is 46404056161. The reversal of 46404056160 is 6165040464.

46404056160 is a `hidden beast` number, since 4 + 640 + 4 + 0 + 5 + 6 + 1 + 6 + 0 = 666.

46404056160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46404056161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4096905 + ... + 4108215.

It is an arithmetic number, because the mean of its divisors is an integer number (352052064).

Almost surely, 2^46404056160 is an apocalyptic number.

46404056160 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 46404056160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101390994432).

46404056160 is an abundant number, since it is smaller than the sum of its proper divisors (156377932704).

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

46404056160 is a wasteful number, since it uses less digits than its factorization.

46404056160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11387 (or 11376 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 46404056160 in words is "forty-six billion, four hundred four million, fifty-six thousand, one hundred sixty".