83657291502096 has 135 divisors (see below), whose sum is σ = 253523455830957. Its totient is φ = 25740266048640.

The previous prime is 83657291502079. The next prime is 83657291502101. The reversal of 83657291502096 is 69020519275638.

The square root of 83657291502096 is 9146436.

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

83657291502096 is a `hidden beast` number, since 8 + 3 + 6 + 572 + 9 + 1 + 50 + 2 + 0 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12375338979600 + 71281952522496 = 3517860^2 + 8442864^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1426814701 + ... + 1426873331.

Almost surely, 2^{83657291502096} is an apocalyptic number.

83657291502096 is the 9146436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83657291502096

83657291502096 is an abundant number, since it is smaller than the sum of its proper divisors (169866164328861).

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

83657291502096 is an frugal number, since it uses more digits than its factorization.

83657291502096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117302 (or 58649 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 83657291502096 in words is "eighty-three trillion, six hundred fifty-seven billion, two hundred ninety-one million, five hundred two thousand, ninety-six".