8874298008576 has 2673 divisors, whose sum is σ = 36659625986529. Its totient is φ = 2059068211200.

The previous prime is 8874298008571. The next prime is 8874298008599. The reversal of 8874298008576 is 6758008924788.

The square root of 8874298008576 is 2978976.

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

8874298008576 is a `hidden beast` number, since 8 + 8 + 7 + 42 + 9 + 8 + 0 + 0 + 8 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1312765977600 + 7561532030976 = 1145760^2 + 2749824^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (8874298008571) by changing a digit.

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 242 ways as a sum of consecutive naturals, for example, 286267677681 + ... + 286267677711.

Almost surely, 2^{8874298008576} is an apocalyptic number.

8874298008576 is the 2978976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8874298008576

8874298008576 is an abundant number, since it is smaller than the sum of its proper divisors (27785327977953).

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

8874298008576 is a wasteful number, since it uses less digits than its factorization.

8874298008576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 72.

The spelling of 8874298008576 in words is "eight trillion, eight hundred seventy-four billion, two hundred ninety-eight million, eight thousand, five hundred seventy-six".