46656144165664 has 24 divisors (see below), whose sum is σ = 100204673265648. Its totient is φ = 21207338256960.

The previous prime is 46656144165601. The next prime is 46656144165679.

46656144165664 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46656144165596 and 46656144165605.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66272931702 + ... + 66272932405.

It is an arithmetic number, because the mean of its divisors is an integer number (4175194719402).

Almost surely, 2^{46656144165664} is an apocalyptic number.

46656144165664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46656144165664 is an abundant number, since it is smaller than the sum of its proper divisors (53548529099984).

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

46656144165664 is a wasteful number, since it uses less digits than its factorization.

46656144165664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132545864128 (or 132545864120 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 64.

The spelling of 46656144165664 in words is "forty-six trillion, six hundred fifty-six billion, one hundred forty-four million, one hundred sixty-five thousand, six hundred sixty-four".