46623555532664 has 32 divisors (see below), whose sum is σ = 98442697904640. Its totient is φ = 20508895394400.

The previous prime is 46623555532663. The next prime is 46623555532679.

It is a happy number.

46623555532664 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a junction number, because it is equal to n+sod(n) for n = 46623555532597 and 46623555532606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46623555532663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8545370354 + ... + 8545375809.

It is an arithmetic number, because the mean of its divisors is an integer number (3076334309520).

Almost surely, 2^{46623555532664} is an apocalyptic number.

46623555532664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46623555532664 is an abundant number, since it is smaller than the sum of its proper divisors (51819142371976).

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

46623555532664 is a wasteful number, since it uses less digits than its factorization.

46623555532664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17090746211 (or 17090746207 counting only the distinct ones).

The product of its digits is 466560000, while the sum is 62.

The spelling of 46623555532664 in words is "forty-six trillion, six hundred twenty-three billion, five hundred fifty-five million, five hundred thirty-two thousand, six hundred sixty-four".