46630466403664 has 160 divisors (see below), whose sum is σ = 113331950290944. Its totient is φ = 18279345047040.

The previous prime is 46630466403659. The next prime is 46630466403709.

46630466403664 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46630466403599 and 46630466403608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8040732 + ... + 12566395.

Almost surely, 2^{46630466403664} is an apocalyptic number.

46630466403664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46630466403664 is an abundant number, since it is smaller than the sum of its proper divisors (66701483887280).

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

46630466403664 is a wasteful number, since it uses less digits than its factorization.

46630466403664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20607225 (or 20607219 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 58.

The spelling of 46630466403664 in words is "forty-six trillion, six hundred thirty billion, four hundred sixty-six million, four hundred three thousand, six hundred sixty-four".