9232133760000 has 2640 divisors, whose sum is σ = 37709021750400. Its totient is φ = 2248114176000.

The previous prime is 9232133759987. The next prime is 9232133760001. The reversal of 9232133760000 is 673312329.

9232133760000 is a `hidden beast` number, since 9 + 2 + 3 + 2 + 13 + 37 + 600 + 0 + 0 = 666.

It is a super-3 number, since 3×9232133760000³ (a number of 40 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (9232133760001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 103731839956 + ... + 103731840044.

It is an arithmetic number, because the mean of its divisors is an integer number (14283720360).

Almost surely, 2^{9232133760000} is an apocalyptic number.

9232133760000 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 9232133760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18854510875200).

9232133760000 is an abundant number, since it is smaller than the sum of its proper divisors (28476887990400).

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

9232133760000 is an equidigital number, since it uses as much as digits as its factorization.

9232133760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 9232133760000 in words is "nine trillion, two hundred thirty-two billion, one hundred thirty-three million, seven hundred sixty thousand".