945931198896 has 80 divisors (see below), whose sum is σ = 2781396666720. Its totient is φ = 307619896320.

The previous prime is 945931198889. The next prime is 945931198897. The reversal of 945931198896 is 698891139549.

945931198896 is a `hidden beast` number, since 9 + 459 + 3 + 1 + 1 + 9 + 88 + 96 = 666.

945931198896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (945931198897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26685405 + ... + 26720828.

It is an arithmetic number, because the mean of its divisors is an integer number (34767458334).

Almost surely, 2^945931198896 is an apocalyptic number.

It is an amenable number.

945931198896 is an abundant number, since it is smaller than the sum of its proper divisors (1835465467824).

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

945931198896 is a wasteful number, since it uses less digits than its factorization.

945931198896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53406291 (or 53406279 counting only the distinct ones).

The product of its digits is 151165440, while the sum is 72.

The spelling of 945931198896 in words is "nine hundred forty-five billion, nine hundred thirty-one million, one hundred ninety-eight thousand, eight hundred ninety-six".