9313166400 has 336 divisors, whose sum is σ = 32171274240. Its totient is φ = 2355609600.

The previous prime is 9313166339. The next prime is 9313166431. The reversal of 9313166400 is 46613139.

It is a super-3 number, since 3×9313166400³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7280961 + ... + 7282239.

It is an arithmetic number, because the mean of its divisors is an integer number (95747840).

Almost surely, 2^9313166400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9313166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16085637120).

9313166400 is an abundant number, since it is smaller than the sum of its proper divisors (22858107840).

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

9313166400 is a wasteful number, since it uses less digits than its factorization.

9313166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 9313166400 is about 96504.7480697193. The cubic root of 9313166400 is about 2103.9356580342.

Adding to 9313166400 its reverse (46613139), we get a palindrome (9359779539).

The spelling of 9313166400 in words is "nine billion, three hundred thirteen million, one hundred sixty-six thousand, four hundred".