46663711736664 has 64 divisors (see below), whose sum is σ = 127343179514880. Its totient is φ = 14131795248000.

The previous prime is 46663711736633. The next prime is 46663711736689.

46663711736664 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 46663711736595 and 46663711736604.

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, 54092872 + ... + 54948759.

It is an arithmetic number, because the mean of its divisors is an integer number (1989737179920).

Almost surely, 2^{46663711736664} is an apocalyptic number.

46663711736664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46663711736664 is an abundant number, since it is smaller than the sum of its proper divisors (80679467778216).

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

46663711736664 is a wasteful number, since it uses less digits than its factorization.

46663711736664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109043272 (or 109043268 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 66.

The spelling of 46663711736664 in words is "forty-six trillion, six hundred sixty-three billion, seven hundred eleven million, seven hundred thirty-six thousand, six hundred sixty-four".