464859614970801 has 48 divisors (see below), whose sum is σ = 729621989424640. Its totient is φ = 284117804340480.

The previous prime is 464859614970797. The next prime is 464859614970833. The reversal of 464859614970801 is 108079416958464.

464859614970801 is a `hidden beast` number, since 4 + 6 + 4 + 8 + 59 + 6 + 1 + 497 + 0 + 80 + 1 = 666.

It is not a de Polignac number, because 464859614970801 - 2² = 464859614970797 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 464859614970801.

It is not an unprimeable number, because it can be changed into a prime (464859614970851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221028165 + ... + 223121421.

Almost surely, 2^{464859614970801} is an apocalyptic number.

It is an amenable number.

464859614970801 is a deficient number, since it is larger than the sum of its proper divisors (264762374453839).

464859614970801 is a wasteful number, since it uses less digits than its factorization.

464859614970801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135206 (or 2135203 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 464859614970801 in words is "four hundred sixty-four trillion, eight hundred fifty-nine billion, six hundred fourteen million, nine hundred seventy thousand, eight hundred one".