916245457920 has 1232 divisors, whose sum is σ = 3707663827392. Its totient is φ = 215468605440.

The previous prime is 916245457901. The next prime is 916245457921. The reversal of 916245457920 is 29754542619.

It is a happy number.

916245457920 is a `hidden beast` number, since 9 + 1 + 6 + 2 + 4 + 545 + 7 + 92 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (916245457921) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1116011110 + ... + 1116011930.

Almost surely, 2^916245457920 is an apocalyptic number.

916245457920 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 916245457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853831913696).

916245457920 is an abundant number, since it is smaller than the sum of its proper divisors (2791418369472).

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

916245457920 is a wasteful number, since it uses less digits than its factorization.

916245457920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 916245457920 in words is "nine hundred sixteen billion, two hundred forty-five million, four hundred fifty-seven thousand, nine hundred twenty".