916169856000 has 2112 divisors, whose sum is σ = 3879194042880. Its totient is φ = 190749081600.

The previous prime is 916169855989. The next prime is 916169856037. The reversal of 916169856000 is 658961619.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12550271964 + ... + 12550272036.

Almost surely, 2^916169856000 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 916169856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939597021440).

916169856000 is an abundant number, since it is smaller than the sum of its proper divisors (2963024186880).

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

916169856000 is a wasteful number, since it uses less digits than its factorization.

916169856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 51.

The spelling of 916169856000 in words is "nine hundred sixteen billion, one hundred sixty-nine million, eight hundred fifty-six thousand".