464874424478464 has 216 divisors, whose sum is σ = 1255334579720480. Its totient is φ = 167187604193280.

The previous prime is 464874424478417. The next prime is 464874424478509.

464874424478464 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×464874424478464² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79640349 + ... + 85277980.

Almost surely, 2^{464874424478464} is an apocalyptic number.

464874424478464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

464874424478464 is an abundant number, since it is smaller than the sum of its proper divisors (790460155242016).

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

464874424478464 is a wasteful number, since it uses less digits than its factorization.

464874424478464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164918387 (or 164918362 counting only the distinct ones).

The product of its digits is 14797504512, while the sum is 76.

The spelling of 464874424478464 in words is "four hundred sixty-four trillion, eight hundred seventy-four billion, four hundred twenty-four million, four hundred seventy-eight thousand, four hundred sixty-four".