46929053638656 has 840 divisors, whose sum is σ = 163931043790800. Its totient is φ = 13339083276288.

The previous prime is 46929053638627. The next prime is 46929053638679. The reversal of 46929053638656 is 65683635092964.

46929053638656 is a `hidden beast` number, since 4 + 6 + 9 + 2 + 9 + 0 + 536 + 3 + 86 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6470291926 + ... + 6470299178.

Almost surely, 2^{46929053638656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46929053638656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81965521895400).

46929053638656 is an abundant number, since it is smaller than the sum of its proper divisors (117001990152144).

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

46929053638656 is an equidigital number, since it uses as much as digits as its factorization.

46929053638656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7504 (or 7464 counting only the distinct ones).

The product of its (nonzero) digits is 1511654400, while the sum is 72.

The spelling of 46929053638656 in words is "forty-six trillion, nine hundred twenty-nine billion, fifty-three million, six hundred thirty-eight thousand, six hundred fifty-six".