864813299047488 has 2016 divisors, whose sum is σ = 3243407367782400. Its totient is φ = 223173184684032.

The previous prime is 864813299047463. The next prime is 864813299047501. The reversal of 864813299047488 is 884740992318468.

It is a happy number.

864813299047488 is a `hidden beast` number, since 8 + 6 + 4 + 8 + 1 + 3 + 2 + 9 + 90 + 47 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×864813299047488² (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 Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 386249797473 + ... + 386249799711.

Almost surely, 2^{864813299047488} 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 864813299047488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621703683891200).

864813299047488 is an abundant number, since it is smaller than the sum of its proper divisors (2378594068734912).

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

864813299047488 is a wasteful number, since it uses less digits than its factorization.

864813299047488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2691 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 5350883328, while the sum is 81.

The spelling of 864813299047488 in words is "eight hundred sixty-four trillion, eight hundred thirteen billion, two hundred ninety-nine million, forty-seven thousand, four hundred eighty-eight".