464512641025743 has 96 divisors (see below), whose sum is σ = 713823194972160. Its totient is φ = 290251402721280.

The previous prime is 464512641025681. The next prime is 464512641025799. The reversal of 464512641025743 is 347520146215464.

464512641025743 is a `hidden beast` number, since 4 + 6 + 4 + 5 + 1 + 2 + 64 + 1 + 0 + 2 + 574 + 3 = 666.

It is not a de Polignac number, because 464512641025743 - 2³⁸ = 464237763118799 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 464512641025743.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464512641025943) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56710121778 + ... + 56710129968.

It is an arithmetic number, because the mean of its divisors is an integer number (7435658280960).

Almost surely, 2^{464512641025743} is an apocalyptic number.

464512641025743 is a deficient number, since it is larger than the sum of its proper divisors (249310553946417).

464512641025743 is a wasteful number, since it uses less digits than its factorization.

464512641025743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13309 (or 13306 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 464512641025743 in words is "four hundred sixty-four trillion, five hundred twelve billion, six hundred forty-one million, twenty-five thousand, seven hundred forty-three".