232963101113600 has 1728 divisors, whose sum is σ = 733340263219200. Its totient is φ = 72022376448000.

The previous prime is 232963101113543. The next prime is 232963101113647. The reversal of 232963101113600 is 6311101369232.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 149431109621 + ... + 149431111179.

It is an arithmetic number, because the mean of its divisors is an integer number (424386726400).

Almost surely, 2^{232963101113600} is an apocalyptic number.

232963101113600 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 232963101113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366670131609600).

232963101113600 is an abundant number, since it is smaller than the sum of its proper divisors (500377162105600).

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

232963101113600 is a wasteful number, since it uses less digits than its factorization.

232963101113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 38.

The spelling of 232963101113600 in words is "two hundred thirty-two trillion, nine hundred sixty-three billion, one hundred one million, one hundred thirteen thousand, six hundred".