916505985024 has 960 divisors, whose sum is σ = 3308602631400. Its totient is φ = 252829237248.

The previous prime is 916505985013. The next prime is 916505985041. The reversal of 916505985024 is 420589505619.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 31603654642 + ... + 31603654670.

Almost surely, 2^916505985024 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 916505985024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654301315700).

916505985024 is an abundant number, since it is smaller than the sum of its proper divisors (2392096646376).

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

916505985024 is an frugal number, since it uses more digits than its factorization.

916505985024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 916505985024 in words is "nine hundred sixteen billion, five hundred five million, nine hundred eighty-five thousand, twenty-four".