9156214080 has 560 divisors, whose sum is σ = 36323899920. Its totient is φ = 2173796352.

The previous prime is 9156214079. The next prime is 9156214087. The reversal of 9156214080 is 804126519.

9156214080 is a `hidden beast` number, since 9 + 1 + 562 + 14 + 0 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2347983936 + 6808230144 = 48456^2 + 82512^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9156214087) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9771372 + ... + 9772308.

It is an arithmetic number, because the mean of its divisors is an integer number (64864107).

Almost surely, 2^9156214080 is an apocalyptic number.

9156214080 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 9156214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18161949960).

9156214080 is an abundant number, since it is smaller than the sum of its proper divisors (27167685840).

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

9156214080 is a wasteful number, since it uses less digits than its factorization.

9156214080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 9156214080 is about 95688.1083520831. The cubic root of 9156214080 is about 2092.0496120881.

The spelling of 9156214080 in words is "nine billion, one hundred fifty-six million, two hundred fourteen thousand, eighty".