86884406626464 has 72 divisors (see below), whose sum is σ = 260081611957440. Its totient is φ = 27437181038208.

The previous prime is 86884406626447. The next prime is 86884406626547. The reversal of 86884406626464 is 46462660448868.

It is a happy number.

86884406626464 is a `hidden beast` number, since 8 + 6 + 8 + 8 + 440 + 6 + 62 + 64 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×86884406626464² (a number of 29 digits) contains 22 as substring.

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 = 86884406626392 and 86884406626401.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7938993672 + ... + 7939004615.

It is an arithmetic number, because the mean of its divisors is an integer number (3612244610520).

Almost surely, 2^{86884406626464} is an apocalyptic number.

It is an amenable number.

86884406626464 is an abundant number, since it is smaller than the sum of its proper divisors (173197205330976).

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

86884406626464 is a wasteful number, since it uses less digits than its factorization.

86884406626464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15877998322 (or 15877998311 counting only the distinct ones).

The product of its (nonzero) digits is 2038431744, while the sum is 72.

The spelling of 86884406626464 in words is "eighty-six trillion, eight hundred eighty-four billion, four hundred six million, six hundred twenty-six thousand, four hundred sixty-four".