916311352320 has 3168 divisors, whose sum is σ = 4403409454080. Its totient is φ = 173903708160.

The previous prime is 916311352309. The next prime is 916311352321. The reversal of 916311352320 is 23253113619.

916311352320 is a `hidden beast` number, since 9 + 1 + 631 + 13 + 5 + 2 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (916311352321) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17288893414 + ... + 17288893466.

Almost surely, 2^916311352320 is an apocalyptic number.

916311352320 is a gapful number since it is divisible by the number (90) 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 916311352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201704727040).

916311352320 is an abundant number, since it is smaller than the sum of its proper divisors (3487098101760).

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

916311352320 is a wasteful number, since it uses less digits than its factorization.

916311352320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

Adding to 916311352320 its reverse (23253113619), we get a palindrome (939564465939).

The spelling of 916311352320 in words is "nine hundred sixteen billion, three hundred eleven million, three hundred fifty-two thousand, three hundred twenty".