86593952448 has 84 divisors (see below), whose sum is σ = 254606150680. Its totient is φ = 28860573312.

The previous prime is 86593952447. The next prime is 86593952449. The reversal of 86593952448 is 84425939568.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

86593952448 is a `hidden beast` number, since 8 + 65 + 9 + 3 + 9 + 524 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (86593952447) and next prime (86593952449).

It is not an unprimeable number, because it can be changed into a prime (86593952447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12228973 + ... + 12236051.

Almost surely, 2^86593952448 is an apocalyptic number.

It is an amenable number.

86593952448 is an abundant number, since it is smaller than the sum of its proper divisors (168012198232).

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

86593952448 is an frugal number, since it uses more digits than its factorization.

86593952448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14179 (or 7084 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 86593952448 in words is "eighty-six billion, five hundred ninety-three million, nine hundred fifty-two thousand, four hundred forty-eight".