916894742400 has 3456 divisors, whose sum is σ = 4463776175040. Its totient is φ = 177124147200.

The previous prime is 916894742389. The next prime is 916894742419. The reversal of 916894742400 is 4247498619.

916894742400 is a `hidden beast` number, since 9 + 168 + 9 + 4 + 74 + 2 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 17299900774 + ... + 17299900826.

Almost surely, 2^916894742400 is an apocalyptic number.

916894742400 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 916894742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231888087520).

916894742400 is an abundant number, since it is smaller than the sum of its proper divisors (3546881432640).

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

916894742400 is a wasteful number, since it uses less digits than its factorization.

916894742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 916894742400 in words is "nine hundred sixteen billion, eight hundred ninety-four million, seven hundred forty-two thousand, four hundred".