864572855642496 has 1536 divisors, whose sum is σ = 3544399368921600. Its totient is φ = 203891646873600.

The previous prime is 864572855642491. The next prime is 864572855642513. The reversal of 864572855642496 is 694246558275468.

864572855642496 is a `hidden beast` number, since 8 + 6 + 4 + 5 + 7 + 2 + 8 + 5 + 564 + 2 + 49 + 6 = 666.

It is a super-2 number, since 2×864572855642496² (a number of 31 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864572855642491) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1476895071 + ... + 1477480353.

It is an arithmetic number, because the mean of its divisors is an integer number (2307551672475).

Almost surely, 2^{864572855642496} 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 864572855642496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772199684460800).

864572855642496 is an abundant number, since it is smaller than the sum of its proper divisors (2679826513279104).

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

864572855642496 is a wasteful number, since it uses less digits than its factorization.

864572855642496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585405 (or 585380 counting only the distinct ones).

The product of its digits is 27869184000, while the sum is 81.

The spelling of 864572855642496 in words is "eight hundred sixty-four trillion, five hundred seventy-two billion, eight hundred fifty-five million, six hundred forty-two thousand, four hundred ninety-six".