86576842134144 has 128 divisors (see below), whose sum is σ = 255867704616000. Its totient is φ = 28819895178240.

The previous prime is 86576842134047. The next prime is 86576842134151. The reversal of 86576842134144 is 44143124867568.

86576842134144 is a `hidden beast` number, since 8 + 6 + 5 + 7 + 68 + 421 + 3 + 4 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×86576842134144² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14395387 + ... + 19503354.

Almost surely, 2^{86576842134144} is an apocalyptic number.

It is an amenable number.

86576842134144 is an abundant number, since it is smaller than the sum of its proper divisors (169290862481856).

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

86576842134144 is a wasteful number, since it uses less digits than its factorization.

86576842134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33899503 (or 33899485 counting only the distinct ones).

The product of its digits is 123863040, while the sum is 63.

The spelling of 86576842134144 in words is "eighty-six trillion, five hundred seventy-six billion, eight hundred forty-two million, one hundred thirty-four thousand, one hundred forty-four".