83958864690648 has 64 divisors (see below), whose sum is σ = 212268019392000. Its totient is φ = 27670210802432.

The previous prime is 83958864690607. The next prime is 83958864690671. The reversal of 83958864690648 is 84609646885938.

It is a Cunningham number, because it is equal to 9162907²-1.

It is a super-3 number, since 3×83958864690648³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35506261 + ... + 37796987.

It is an arithmetic number, because the mean of its divisors is an integer number (3316687803000).

Almost surely, 2^{83958864690648} is an apocalyptic number.

It is an amenable number.

83958864690648 is an abundant number, since it is smaller than the sum of its proper divisors (128309154701352).

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

83958864690648 is a wasteful number, since it uses less digits than its factorization.

83958864690648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307984 (or 2307980 counting only the distinct ones).

The product of its (nonzero) digits is 17199267840, while the sum is 84.

The spelling of 83958864690648 in words is "eighty-three trillion, nine hundred fifty-eight billion, eight hundred sixty-four million, six hundred ninety thousand, six hundred forty-eight".