232603392000 has 768 divisors, whose sum is σ = 903547008000. Its totient is φ = 53106278400.

The previous prime is 232603391971. The next prime is 232603392013. The reversal of 232603392000 is 293306232.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 263423559 + ... + 263424441.

It is an arithmetic number, because the mean of its divisors is an integer number (1176493500).

Almost surely, 2^232603392000 is an apocalyptic number.

232603392000 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 232603392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451773504000).

232603392000 is an abundant number, since it is smaller than the sum of its proper divisors (670943616000).

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

232603392000 is an frugal number, since it uses more digits than its factorization.

232603392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 232603392000 its reverse (293306232), we get a palindrome (232896698232).

The spelling of 232603392000 in words is "two hundred thirty-two billion, six hundred three million, three hundred ninety-two thousand".