466597795664 has 80 divisors (see below), whose sum is σ = 1213806894720. Its totient is φ = 167807393280.

The previous prime is 466597795649. The next prime is 466597795679.

466597795664 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (466597795649) and next prime (466597795679).

It is a junction number, because it is equal to n+sod(n) for n = 466597795591 and 466597795600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14550599 + ... + 14582630.

It is an arithmetic number, because the mean of its divisors is an integer number (15172586184).

Almost surely, 2^466597795664 is an apocalyptic number.

466597795664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

466597795664 is an abundant number, since it is smaller than the sum of its proper divisors (747209099056).

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

466597795664 is a wasteful number, since it uses less digits than its factorization.

466597795664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29133268 (or 29133262 counting only the distinct ones).

The product of its digits is 2057529600, while the sum is 74.

The spelling of 466597795664 in words is "four hundred sixty-six billion, five hundred ninety-seven million, seven hundred ninety-five thousand, six hundred sixty-four".