8957977168144 has 45 divisors (see below), whose sum is σ = 17934757814181. Its totient is φ = 4334325502080.

The previous prime is 8957977168141. The next prime is 8957977168177. The reversal of 8957977168144 is 4418617797598.

The square root of 8957977168144 is 2992988.

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., 6314465379600 + 2643511788544 = 2512860^2 + 1625888^2 .

It is not an unprimeable number, because it can be changed into a prime (8957977168141) 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 8 ways as a sum of consecutive naturals, for example, 371118444 + ... + 371142580.

Almost surely, 2^{8957977168144} is an apocalyptic number.

8957977168144 is the 2992988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8957977168144

8957977168144 is an abundant number, since it is smaller than the sum of its proper divisors (8976780646037).

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

8957977168144 is an frugal number, since it uses more digits than its factorization.

8957977168144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48344 (or 24170 counting only the distinct ones).

The product of its digits is 853493760, while the sum is 76.

The spelling of 8957977168144 in words is "eight trillion, nine hundred fifty-seven billion, nine hundred seventy-seven million, one hundred sixty-eight thousand, one hundred forty-four".