83455679326464 has 81 divisors (see below), whose sum is σ = 240624561950409. Its totient is φ = 27818413608960.

The previous prime is 83455679326457. The next prime is 83455679326477. The reversal of 83455679326464 is 46462397655438.

The square root of 83455679326464 is 9135408.

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

83455679326464 is a `hidden beast` number, since 8 + 3 + 4 + 5 + 56 + 7 + 93 + 26 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83061496260864 + 394183065600 = 9113808^2 + 627840^2 .

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 = 83455679326392 and 83455679326401.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 438404424 + ... + 438594744.

Almost surely, 2^{83455679326464} is an apocalyptic number.

83455679326464 is the 9135408-th square number.

It is an amenable number.

83455679326464 is an abundant number, since it is smaller than the sum of its proper divisors (157168882623945).

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

83455679326464 is an frugal number, since it uses more digits than its factorization.

83455679326464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380664 (or 190326 counting only the distinct ones).

The product of its digits is 3135283200, while the sum is 72.

The spelling of 83455679326464 in words is "eighty-three trillion, four hundred fifty-five billion, six hundred seventy-nine million, three hundred twenty-six thousand, four hundred sixty-four".