86254990864 has 135 divisors (see below), whose sum is σ = 206847226983. Its totient is φ = 34735540224.

The previous prime is 86254990799. The next prime is 86254990867. The reversal of 86254990864 is 46809945268.

The square root of 86254990864 is 293692.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8480936464 + 77774054400 = 92092^2 + 278880^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86254990867) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 139797084 + ... + 139797700.

Almost surely, 2^86254990864 is an apocalyptic number.

86254990864 is the 293692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86254990864

86254990864 is an abundant number, since it is smaller than the sum of its proper divisors (120592236119).

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

86254990864 is an equidigital number, since it uses as much as digits as its factorization.

86254990864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 61.

The spelling of 86254990864 in words is "eighty-six billion, two hundred fifty-four million, nine hundred ninety thousand, eight hundred sixty-four".