466553355664 has 40 divisors (see below), whose sum is σ = 987172441920. Its totient is φ = 211844265600.

The previous prime is 466553355637. The next prime is 466553355683.

466553355664 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×466553355664³ (a number of 36 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 466553355599 and 466553355608.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1242924 + ... + 1574155.

It is an arithmetic number, because the mean of its divisors is an integer number (24679311048).

Almost surely, 2^466553355664 is an apocalyptic number.

466553355664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

466553355664 is an abundant number, since it is smaller than the sum of its proper divisors (520619086256).

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

466553355664 is a wasteful number, since it uses less digits than its factorization.

466553355664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2818039 (or 2818033 counting only the distinct ones).

The product of its digits is 116640000, while the sum is 58.

The spelling of 466553355664 in words is "four hundred sixty-six billion, five hundred fifty-three million, three hundred fifty-five thousand, six hundred sixty-four".