232034400000 has 1296 divisors, whose sum is σ = 938678858208. Its totient is φ = 54743040000.

The previous prime is 232034399983. The next prime is 232034400007. The reversal of 232034400000 is 4430232.

232034400000 is a `hidden beast` number, since 2 + 320 + 344 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232034400007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3463199967 + ... + 3463200033.

Almost surely, 2^232034400000 is an apocalyptic number.

232034400000 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 232034400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469339429104).

232034400000 is an abundant number, since it is smaller than the sum of its proper divisors (706644458208).

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

232034400000 is an equidigital number, since it uses as much as digits as its factorization.

232034400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 232034400000 its reverse (4430232), we get a palindrome (232038830232).

The spelling of 232034400000 in words is "two hundred thirty-two billion, thirty-four million, four hundred thousand".