9131253768 has 384 divisors, whose sum is σ = 32053432320. Its totient is φ = 2371057920.

The previous prime is 9131253743. The next prime is 9131253779. The reversal of 9131253768 is 8673521319.

It is a super-2 number, since 2×9131253768² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12559821 + ... + 12560547.

It is an arithmetic number, because the mean of its divisors is an integer number (83472480).

Almost surely, 2^9131253768 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 9131253768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16026716160).

9131253768 is an abundant number, since it is smaller than the sum of its proper divisors (22922178552).

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

9131253768 is a wasteful number, since it uses less digits than its factorization.

9131253768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 823 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 9131253768 is about 95557.5939839425. The cubic root of 9131253768 is about 2090.1468703210.

The spelling of 9131253768 in words is "nine billion, one hundred thirty-one million, two hundred fifty-three thousand, seven hundred sixty-eight".