916973917270272 has 2016 divisors, whose sum is σ = 3178178529361920. Its totient is φ = 262308721213440.

The previous prime is 916973917270211. The next prime is 916973917270309. The reversal of 916973917270272 is 272072719379619.

916973917270272 is a `hidden beast` number, since 9 + 1 + 6 + 9 + 73 + 9 + 17 + 270 + 272 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 916973917270272.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 118825176558 + ... + 118825184274.

It is an arithmetic number, because the mean of its divisors is an integer number (1576477445120).

Almost surely, 2^{916973917270272} is an apocalyptic number.

916973917270272 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 916973917270272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589089264680960).

916973917270272 is an abundant number, since it is smaller than the sum of its proper divisors (2261204612091648).

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

916973917270272 is a wasteful number, since it uses less digits than its factorization.

916973917270272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7871 (or 7842 counting only the distinct ones).

The product of its (nonzero) digits is 252047376, while the sum is 72.

The spelling of 916973917270272 in words is "nine hundred sixteen trillion, nine hundred seventy-three billion, nine hundred seventeen million, two hundred seventy thousand, two hundred seventy-two".