864288846511488 has 256 divisors, whose sum is σ = 2637377029080000. Its totient is φ = 278428615557120.

The previous prime is 864288846511487. The next prime is 864288846511511. The reversal of 864288846511488 is 884115648882468.

864288846511488 is a `hidden beast` number, since 8 + 6 + 4 + 2 + 8 + 8 + 8 + 465 + 1 + 148 + 8 = 666.

It is a super-3 number, since 3×864288846511488³ (a number of 46 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864288846511487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3628333 + ... + 41734188.

Almost surely, 2^{864288846511488} 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 864288846511488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318688514540000).

864288846511488 is an abundant number, since it is smaller than the sum of its proper divisors (1773088182568512).

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

864288846511488 is a wasteful number, since it uses less digits than its factorization.

864288846511488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45362730 (or 45362712 counting only the distinct ones).

The product of its digits is 6039797760, while the sum is 81.

The spelling of 864288846511488 in words is "eight hundred sixty-four trillion, two hundred eighty-eight billion, eight hundred forty-six million, five hundred eleven thousand, four hundred eighty-eight".