232906752000 has 1088 divisors, whose sum is σ = 938929729920. Its totient is φ = 57330892800.

The previous prime is 232906751989. The next prime is 232906752047. The reversal of 232906752000 is 257609232.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17915903994 + ... + 17915904006.

Almost surely, 2^232906752000 is an apocalyptic number.

232906752000 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 232906752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469464864960).

232906752000 is an abundant number, since it is smaller than the sum of its proper divisors (706022977920).

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

232906752000 is an frugal number, since it uses more digits than its factorization.

232906752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

It can be divided in two parts, 232906 and 752000, that added together give a triangular number (984906 = T₁₄₀₃).

The spelling of 232906752000 in words is "two hundred thirty-two billion, nine hundred six million, seven hundred fifty-two thousand".