8972718144 has 112 divisors (see below), whose sum is σ = 26190366720. Its totient is φ = 2693468160.

The previous prime is 8972718127. The next prime is 8972718149. The reversal of 8972718144 is 4418172798.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (8972718149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58497 + ... + 146175.

It is an arithmetic number, because the mean of its divisors is an integer number (233842560).

Almost surely, 2^8972718144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8972718144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13095183360).

8972718144 is an abundant number, since it is smaller than the sum of its proper divisors (17217648576).

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

8972718144 is a wasteful number, since it uses less digits than its factorization.

8972718144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87748 (or 87738 counting only the distinct ones).

The product of its digits is 903168, while the sum is 51.

The square root of 8972718144 is about 94724.4326665512. The cubic root of 8972718144 is about 2077.9798976800.

The spelling of 8972718144 in words is "eight billion, nine hundred seventy-two million, seven hundred eighteen thousand, one hundred forty-four".