464997589056 has 1680 divisors, whose sum is σ = 1908129979008. Its totient is φ = 108689817600.

The previous prime is 464997589039. The next prime is 464997589093. The reversal of 464997589056 is 650985799464.

464997589056 is a `hidden beast` number, since 4 + 6 + 499 + 7 + 5 + 89 + 0 + 56 = 666.

It is a super-2 number, since 2×464997589056² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4115022856 + ... + 4115022968.

Almost surely, 2^464997589056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464997589056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954064989504).

464997589056 is an abundant number, since it is smaller than the sum of its proper divisors (1443132389952).

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

464997589056 is a wasteful number, since it uses less digits than its factorization.

464997589056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 464997589056 in words is "four hundred sixty-four billion, nine hundred ninety-seven million, five hundred eighty-nine thousand, fifty-six".