916580416944 has 160 divisors (see below), whose sum is σ = 2578179112960. Its totient is φ = 279530092800.

The previous prime is 916580416919. The next prime is 916580416949. The reversal of 916580416944 is 449614085619.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (916580416949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13735179 + ... + 13801749.

It is an arithmetic number, because the mean of its divisors is an integer number (16113619456).

Almost surely, 2^916580416944 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 916580416944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289089556480).

916580416944 is an abundant number, since it is smaller than the sum of its proper divisors (1661598696016).

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

916580416944 is a wasteful number, since it uses less digits than its factorization.

916580416944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67119 (or 67113 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 916580416944 in words is "nine hundred sixteen billion, five hundred eighty million, four hundred sixteen thousand, nine hundred forty-four".