82374937732096 has 99 divisors (see below), whose sum is σ = 165689970453297. Its totient is φ = 40933774725120.

The previous prime is 82374937732091. The next prime is 82374937732099. The reversal of 82374937732096 is 69023773947328.

The square root of 82374937732096 is 9076064.

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., 907705885696 + 81467231846400 = 952736^2 + 9025920^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82374937732091) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52568561905 + ... + 52568563471.

Almost surely, 2^{82374937732096} is an apocalyptic number.

82374937732096 is the 9076064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82374937732096

82374937732096 is an abundant number, since it is smaller than the sum of its proper divisors (83315032721201).

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

82374937732096 is an frugal number, since it uses more digits than its factorization.

82374937732096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3516 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 576108288, while the sum is 70.

The spelling of 82374937732096 in words is "eighty-two trillion, three hundred seventy-four billion, nine hundred thirty-seven million, seven hundred thirty-two thousand, ninety-six".