86233659019264 has 117 divisors (see below), whose sum is σ = 173355467733903. Its totient is φ = 42890691772416.

The previous prime is 86233659019223. The next prime is 86233659019297. The reversal of 86233659019264 is 46291095633268.

The square root of 86233659019264 is 9286208.

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 4653166694400 + 81580492324864 = 2157120^2 + 9032192^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 86233659019196 and 86233659019205.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 221680357182 + ... + 221680357570.

Almost surely, 2^{86233659019264} is an apocalyptic number.

86233659019264 is the 9286208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86233659019264

86233659019264 is an abundant number, since it is smaller than the sum of its proper divisors (87121808714639).

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

86233659019264 is an frugal number, since it uses more digits than its factorization.

86233659019264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 64.

86233659019264 divided by its sum of digits (64) gives a square (1347400922176 = 1160776²).

The spelling of 86233659019264 in words is "eighty-six trillion, two hundred thirty-three billion, six hundred fifty-nine million, nineteen thousand, two hundred sixty-four".