466056650664 has 128 divisors (see below), whose sum is σ = 1412519040000. Its totient is φ = 141206673600.

The previous prime is 466056650659. The next prime is 466056650677.

466056650664 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 466056650664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20419819 + ... + 20442629.

It is an arithmetic number, because the mean of its divisors is an integer number (11035305000).

Almost surely, 2^466056650664 is an apocalyptic number.

466056650664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

466056650664 is an abundant number, since it is smaller than the sum of its proper divisors (946462389336).

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

466056650664 is a wasteful number, since it uses less digits than its factorization.

466056650664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31436 (or 31426 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 466056650664 in words is "four hundred sixty-six billion, fifty-six million, six hundred fifty thousand, six hundred sixty-four".