86816414664 has 96 divisors (see below), whose sum is σ = 269324752320. Its totient is φ = 24748633728.

The previous prime is 86816414653. The next prime is 86816414723. The reversal of 86816414664 is 46641461868.

It is a super-2 number, since 2×86816414664² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 86816414664.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28854 + ... + 417690.

It is an arithmetic number, because the mean of its divisors is an integer number (2805466170).

Almost surely, 2^86816414664 is an apocalyptic number.

86816414664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86816414664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134662376160).

86816414664 is an abundant number, since it is smaller than the sum of its proper divisors (182508337656).

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

86816414664 is a wasteful number, since it uses less digits than its factorization.

86816414664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389299 (or 389292 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 86816414664 in words is "eighty-six billion, eight hundred sixteen million, four hundred fourteen thousand, six hundred sixty-four".