8955961344 has 336 divisors, whose sum is σ = 29339987040. Its totient is φ = 2707292160.

The previous prime is 8955961319. The next prime is 8955961351. The reversal of 8955961344 is 4431695598.

8955961344 is a `hidden beast` number, since 8 + 9 + 5 + 596 + 1 + 3 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21897012 + ... + 21897420.

It is an arithmetic number, because the mean of its divisors is an integer number (87321390).

Almost surely, 2^8955961344 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 8955961344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14669993520).

8955961344 is an abundant number, since it is smaller than the sum of its proper divisors (20384025696).

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

8955961344 is an equidigital number, since it uses as much as digits as its factorization.

8955961344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 425 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The square root of 8955961344 is about 94635.9410794863. The cubic root of 8955961344 is about 2076.6855298915.

It can be divided in two parts, 8955 and 961344, that added together give a cube (970299 = 99³).

The spelling of 8955961344 in words is "eight billion, nine hundred fifty-five million, nine hundred sixty-one thousand, three hundred forty-four".