86331583917864 has 128 divisors (see below), whose sum is σ = 241291455696000. Its totient is φ = 28599429652992.

The previous prime is 86331583917763. The next prime is 86331583917889. The reversal of 86331583917864 is 46871938513368.

It is a happy number.

86331583917864 is a `hidden beast` number, since 8 + 6 + 3 + 3 + 158 + 391 + 7 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 86331583917792 and 86331583917801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1256081452 + ... + 1256150180.

It is an arithmetic number, because the mean of its divisors is an integer number (1885089497625).

Almost surely, 2^{86331583917864} 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 86331583917864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120645727848000).

86331583917864 is an abundant number, since it is smaller than the sum of its proper divisors (154959871778136).

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

86331583917864 is a wasteful number, since it uses less digits than its factorization.

86331583917864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104584 (or 104574 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 86331583917864 in words is "eighty-six trillion, three hundred thirty-one billion, five hundred eighty-three million, nine hundred seventeen thousand, eight hundred sixty-four".