916691353600 has 567 divisors, whose sum is σ = 2654491946911. Its totient is φ = 313733939200.

The previous prime is 916691353579. The next prime is 916691353601. The reversal of 916691353600 is 6353196619.

The square root of 916691353600 is 957440.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 21442330624 + 895249022976 = 146432^2 + 946176^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (916691353601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53923020792 + ... + 53923020808.

Almost surely, 2^916691353600 is an apocalyptic number.

916691353600 is the 957440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 916691353600

916691353600 is an abundant number, since it is smaller than the sum of its proper divisors (1737800593311).

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

916691353600 is an frugal number, since it uses more digits than its factorization.

916691353600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 49.

Multiplying 916691353600 by its sum of digits (49), we get a square (44917876326400 = 6702080²).

The spelling of 916691353600 in words is "nine hundred sixteen billion, six hundred ninety-one million, three hundred fifty-three thousand, six hundred".