464714264000412 has 72 divisors (see below), whose sum is σ = 1181839148053200. Its totient is φ = 153963441785088.

The previous prime is 464714264000339. The next prime is 464714264000431. The reversal of 464714264000412 is 214000462417464.

464714264000412 is a `hidden beast` number, since 4 + 64 + 7 + 142 + 6 + 400 + 0 + 41 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4696393 + ... + 30846144.

It is an arithmetic number, because the mean of its divisors is an integer number (16414432611850).

Almost surely, 2^{464714264000412} is an apocalyptic number.

It is an amenable number.

464714264000412 is an abundant number, since it is smaller than the sum of its proper divisors (717124884052788).

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

464714264000412 is a wasteful number, since it uses less digits than its factorization.

464714264000412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35544755 (or 35544750 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 464714264000412 in words is "four hundred sixty-four trillion, seven hundred fourteen billion, two hundred sixty-four million, four hundred twelve", and thus it is an aban number.