9252691602336 has 4608 divisors, whose sum is σ = 41143276339200. Its totient is φ = 1986515435520.

The previous prime is 9252691602283. The next prime is 9252691602397. The reversal of 9252691602336 is 6332061962529.

It is a happy number.

9252691602336 is a `hidden beast` number, since 9 + 2 + 5 + 26 + 9 + 1 + 602 + 3 + 3 + 6 = 666.

It is a super-2 number, since 2×9252691602336² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 126749199996 + ... + 126749200068.

It is an arithmetic number, because the mean of its divisors is an integer number (8928662400).

Almost surely, 2^{9252691602336} is an apocalyptic number.

9252691602336 is a gapful number since it is divisible by the number (96) 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 9252691602336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20571638169600).

9252691602336 is an abundant number, since it is smaller than the sum of its proper divisors (31890584736864).

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

9252691602336 is a wasteful number, since it uses less digits than its factorization.

9252691602336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 9252691602336 in words is "nine trillion, two hundred fifty-two billion, six hundred ninety-one million, six hundred two thousand, three hundred thirty-six".