232288123613520 has 320 divisors, whose sum is σ = 797769455986944. Its totient is φ = 55540662681600.

The previous prime is 232288123613509. The next prime is 232288123613527. The reversal of 232288123613520 is 25316321882232.

232288123613520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 232288123613520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232288123613527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67705399 + ... + 71053481.

Almost surely, 2^{232288123613520} is an apocalyptic number.

232288123613520 is a gapful number since it is divisible by the number (20) 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 232288123613520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398884727993472).

232288123613520 is an abundant number, since it is smaller than the sum of its proper divisors (565481332373424).

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

232288123613520 is a wasteful number, since it uses less digits than its factorization.

232288123613520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348750 (or 3348744 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 232288123613520 in words is "two hundred thirty-two trillion, two hundred eighty-eight billion, one hundred twenty-three million, six hundred thirteen thousand, five hundred twenty".