73615850881024 has 135 divisors (see below), whose sum is σ = 156436743896517. Its totient is φ = 34633967468544.

The previous prime is 73615850880947. The next prime is 73615850881033. The reversal of 73615850881024 is 42018805851637.

The square root of 73615850881024 is 8579968.

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., 57313378713600 + 16302472167424 = 7570560^2 + 4037632^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 73615850881024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18670008397 + ... + 18670012339.

Almost surely, 2^{73615850881024} is an apocalyptic number.

73615850881024 is the 8579968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73615850881024

73615850881024 is an abundant number, since it is smaller than the sum of its proper divisors (82820893015493).

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

73615850881024 is an frugal number, since it uses more digits than its factorization.

73615850881024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7948 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 58.

The spelling of 73615850881024 in words is "seventy-three trillion, six hundred fifteen billion, eight hundred fifty million, eight hundred eighty-one thousand, twenty-four".