9161913600 has 648 divisors, whose sum is σ = 38695634432. Its totient is φ = 2023833600.

The previous prime is 9161913511. The next prime is 9161913613. The reversal of 9161913600 is 63191619.

9161913600 is a `hidden beast` number, since 9 + 1 + 619 + 1 + 36 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12498834 + ... + 12499566.

Almost surely, 2^9161913600 is an apocalyptic number.

9161913600 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 9161913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19347817216).

9161913600 is an abundant number, since it is smaller than the sum of its proper divisors (29533720832).

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

9161913600 is a wasteful number, since it uses less digits than its factorization.

9161913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 9161913600 is about 95717.8854760175. The cubic root of 9161913600 is about 2092.4836053408.

It can be divided in two parts, 9161 and 913600, that added together give a triangular number (922761 = T₁₃₅₈).

The spelling of 9161913600 in words is "nine billion, one hundred sixty-one million, nine hundred thirteen thousand, six hundred".