8961342624 has 108 divisors (see below), whose sum is σ = 27595053486. Its totient is φ = 2757321216.

The previous prime is 8961342623. The next prime is 8961342659. The reversal of 8961342624 is 4262431698.

8961342624 is a `hidden beast` number, since 8 + 9 + 6 + 13 + 4 + 2 + 624 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1854852624 + 7106490000 = 43068^2 + 84300^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 8961342624.

It is not an unprimeable number, because it can be changed into a prime (8961342623) 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 17 ways as a sum of consecutive naturals, for example, 43387 + ... + 140730.

Almost surely, 2^8961342624 is an apocalyptic number.

It is an amenable number.

8961342624 is an abundant number, since it is smaller than the sum of its proper divisors (18633710862).

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

8961342624 is a wasteful number, since it uses less digits than its factorization.

8961342624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184159 (or 184135 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 8961342624 is about 94664.3682913481. The cubic root of 8961342624 is about 2077.1013791185.

The spelling of 8961342624 in words is "eight billion, nine hundred sixty-one million, three hundred forty-two thousand, six hundred twenty-four".