83952744516 has 45 divisors (see below), whose sum is σ = 219482692429. Its totient is φ = 27982509696.

The previous prime is 83952744497. The next prime is 83952744553. The reversal of 83952744516 is 61544725938.

It is a happy number.

The square root of 83952744516 is 289746.

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

83952744516 is a `hidden beast` number, since 8 + 3 + 9 + 52 + 74 + 4 + 516 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48422002500 + 35530742016 = 220050^2 + 188496^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5207380 + ... + 5223476.

Almost surely, 2^83952744516 is an apocalyptic number.

83952744516 is the 289746-th square number.

It is an amenable number.

83952744516 is an abundant number, since it is smaller than the sum of its proper divisors (135529947913).

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

83952744516 is an frugal number, since it uses more digits than its factorization.

83952744516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32210 (or 16102 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 83952744516 in words is "eighty-three billion, nine hundred fifty-two million, seven hundred forty-four thousand, five hundred sixteen".