86793873664 has 27 divisors (see below), whose sum is σ = 173258118313. Its totient is φ = 43394579968.

The previous prime is 86793873659. The next prime is 86793873689. The reversal of 86793873664 is 46637839768.

The square root of 86793873664 is 294608.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 22788921600 + 64004952064 = 150960^2 + 252992^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 86793873664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4704522 + ... + 4722934.

Almost surely, 2^86793873664 is an apocalyptic number.

86793873664 is the 294608-th square number.

It is an amenable number.

86793873664 is a deficient number, since it is larger than the sum of its proper divisors (86464244649).

86793873664 is an frugal number, since it uses more digits than its factorization.

86793873664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36842 (or 18415 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 67.

The spelling of 86793873664 in words is "eighty-six billion, seven hundred ninety-three million, eight hundred seventy-three thousand, six hundred sixty-four".