83516376064 has 99 divisors (see below), whose sum is σ = 183732126613. Its totient is φ = 37915750400.

The previous prime is 83516376001. The next prime is 83516376071. The reversal of 83516376064 is 46067361538.

The square root of 83516376064 is 288992.

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., 22803416064 + 60712960000 = 151008^2 + 246400^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83516375999 and 83516376017.

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, 101724774 + ... + 101725594.

Almost surely, 2^83516376064 is an apocalyptic number.

83516376064 is the 288992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83516376064

83516376064 is an abundant number, since it is smaller than the sum of its proper divisors (100215750549).

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

83516376064 is an frugal number, since it uses more digits than its factorization.

83516376064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

Multiplying 83516376064 by its sum of digits (49), we get a square (4092302427136 = 2022944²).

The spelling of 83516376064 in words is "eighty-three billion, five hundred sixteen million, three hundred seventy-six thousand, sixty-four".