46644311344664 has 64 divisors (see below), whose sum is σ = 95521742100000. Its totient is φ = 21176878694400.

The previous prime is 46644311344627. The next prime is 46644311344693.

46644311344664 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291956324 + ... + 292116044.

Almost surely, 2^{46644311344664} is an apocalyptic number.

46644311344664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46644311344664 is an abundant number, since it is smaller than the sum of its proper divisors (48877430755336).

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

46644311344664 is a wasteful number, since it uses less digits than its factorization.

46644311344664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163644 (or 163640 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 56.

The spelling of 46644311344664 in words is "forty-six trillion, six hundred forty-four billion, three hundred eleven million, three hundred forty-four thousand, six hundred sixty-four".