8873297100864 has 945 divisors, whose sum is σ = 31731859020407. Its totient is φ = 2370082627584.

The previous prime is 8873297100823. The next prime is 8873297100883. The reversal of 8873297100864 is 4680017923788.

The square root of 8873297100864 is 2978808.

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

It can be written as a sum of positive squares in 4 ways, for example, as 174289550400 + 8699007550464 = 417480^2 + 2949408^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 59552329462 + ... + 59552329610.

Almost surely, 2^{8873297100864} is an apocalyptic number.

8873297100864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

8873297100864 is the 2978808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8873297100864

8873297100864 is an abundant number, since it is smaller than the sum of its proper divisors (22858561919543).

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

8873297100864 is an equidigital number, since it uses as much as digits as its factorization.

8873297100864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 8873297100864 in words is "eight trillion, eight hundred seventy-three billion, two hundred ninety-seven million, one hundred thousand, eight hundred sixty-four".