918963137094912 has 2160 divisors, whose sum is σ = 3507339276819840. Its totient is φ = 233031805009920.

The previous prime is 918963137094869. The next prime is 918963137094931. The reversal of 918963137094912 is 219490731369819.

918963137094912 is a `hidden beast` number, since 9 + 1 + 8 + 9 + 63 + 1 + 3 + 70 + 9 + 491 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 295581580014 + ... + 295581583122.

Almost surely, 2^{918963137094912} 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 918963137094912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753669638409920).

918963137094912 is an abundant number, since it is smaller than the sum of its proper divisors (2588376139724928).

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

918963137094912 is a wasteful number, since it uses less digits than its factorization.

918963137094912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3382 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 72.

The spelling of 918963137094912 in words is "nine hundred eighteen trillion, nine hundred sixty-three billion, one hundred thirty-seven million, ninety-four thousand, nine hundred twelve".