9312166080 has 448 divisors, whose sum is σ = 38039040000. Its totient is φ = 2100473856.

The previous prime is 9312166069. The next prime is 9312166093. The reversal of 9312166080 is 806612139.

9312166080 is a `hidden beast` number, since 9 + 31 + 2 + 16 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4776946 + ... + 4778894.

Almost surely, 2^9312166080 is an apocalyptic number.

9312166080 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 9312166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19019520000).

9312166080 is an abundant number, since it is smaller than the sum of its proper divisors (28726873920).

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

9312166080 is a wasteful number, since it uses less digits than its factorization.

9312166080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9312166080 is about 96499.5651803675. The cubic root of 9312166080 is about 2103.8603279698.

It can be divided in two parts, 93121 and 66080, that added together give a square (159201 = 399²).

The spelling of 9312166080 in words is "nine billion, three hundred twelve million, one hundred sixty-six thousand, eighty".