918960345216 has 96 divisors (see below), whose sum is σ = 2683873062000. Its totient is φ = 301748147712.

The previous prime is 918960345211. The next prime is 918960345229. The reversal of 918960345216 is 612543069819.

918960345216 is a `hidden beast` number, since 9 + 1 + 8 + 9 + 603 + 4 + 5 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (918960345211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5875866 + ... + 6030233.

Almost surely, 2^918960345216 is an apocalyptic number.

918960345216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

918960345216 is an abundant number, since it is smaller than the sum of its proper divisors (1764912716784).

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

918960345216 is a wasteful number, since it uses less digits than its factorization.

918960345216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11906186 (or 11906171 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 918960345216 in words is "nine hundred eighteen billion, nine hundred sixty million, three hundred forty-five thousand, two hundred sixteen".