8955756508689 has 15 divisors (see below), whose sum is σ = 13378392549643. Its totient is φ = 5970486383424.

The previous prime is 8955756508663. The next prime is 8955756508691. The reversal of 8955756508689 is 9868056575598.

The square root of 8955756508689 is 2992617.

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

8955756508689 is a `hidden beast` number, since 8 + 9 + 5 + 57 + 56 + 508 + 6 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8390841923025 + 564914585664 = 2896695^2 + 751608^2 .

It is not a de Polignac number, because 8955756508689 - 2³⁷ = 8818317555217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8955756508619) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 26767297 + ... + 27099809.

Almost surely, 2^{8955756508689} is an apocalyptic number.

8955756508689 is the 2992617-th square number.

8955756508689 is the 1496309-th centered octagonal number.

It is an amenable number.

8955756508689 is a deficient number, since it is larger than the sum of its proper divisors (4422636040954).

8955756508689 is an frugal number, since it uses more digits than its factorization.

8955756508689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665038 (or 332516 counting only the distinct ones).

The product of its (nonzero) digits is 6531840000, while the sum is 81.

Multiplying 8955756508689 by its sum of digits (81), we get a square (725416277203809 = 26933553²).

8955756508689 divided by its sum of digits (81) gives a square (110564895169 = 332513²).

The spelling of 8955756508689 in words is "eight trillion, nine hundred fifty-five billion, seven hundred fifty-six million, five hundred eight thousand, six hundred eighty-nine".