916613858160 has 2160 divisors, whose sum is σ = 4402227667968. Its totient is φ = 165946060800.

The previous prime is 916613858123. The next prime is 916613858161. The reversal of 916613858160 is 61858316619.

916613858160 is a `hidden beast` number, since 9 + 1 + 6 + 613 + 8 + 5 + 8 + 16 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 916613858097 and 916613858106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (916613858161) by changing a digit.

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 431 ways as a sum of consecutive naturals, for example, 3382338825 + ... + 3382339095.

Almost surely, 2^916613858160 is an apocalyptic number.

916613858160 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 916613858160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201113833984).

916613858160 is an abundant number, since it is smaller than the sum of its proper divisors (3485613809808).

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

916613858160 is a wasteful number, since it uses less digits than its factorization.

916613858160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 916613858160 in words is "nine hundred sixteen billion, six hundred thirteen million, eight hundred fifty-eight thousand, one hundred sixty".