916126248960 has 312 divisors, whose sum is σ = 3419796101904. Its totient is φ = 225507409920.

The previous prime is 916126248953. The next prime is 916126248979. The reversal of 916126248960 is 69842621619.

916126248960 is a `hidden beast` number, since 9 + 1 + 6 + 1 + 2 + 624 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

It is a junction number, because it is equal to n+sod(n) for n = 916126248897 and 916126248906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2204995 + ... + 2587325.

It is an arithmetic number, because the mean of its divisors is an integer number (10960884942).

Almost surely, 2^916126248960 is an apocalyptic number.

916126248960 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 916126248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709898050952).

916126248960 is an abundant number, since it is smaller than the sum of its proper divisors (2503669852944).

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

916126248960 is a wasteful number, since it uses less digits than its factorization.

916126248960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382379 (or 382354 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 916126248960 in words is "nine hundred sixteen billion, one hundred twenty-six million, two hundred forty-eight thousand, nine hundred sixty".