23238738432 has 960 divisors, whose sum is σ = 89860320000. Its totient is φ = 5917556736.

The previous prime is 23238738401. The next prime is 23238738437. The reversal of 23238738432 is 23483783232.

23238738432 is a `hidden beast` number, since 2 + 3 + 238 + 7 + 384 + 32 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1161216) is a multiple of the sum of its prime divisors (54).

It is not an unprimeable number, because it can be changed into a prime (23238738437) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 801335794 + ... + 801335822.

It is an arithmetic number, because the mean of its divisors is an integer number (93604500).

Almost surely, 2^23238738432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23238738432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44930160000).

23238738432 is an abundant number, since it is smaller than the sum of its proper divisors (66621581568).

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

23238738432 is an equidigital number, since it uses as much as digits as its factorization.

23238738432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 54 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 23238738432 in words is "twenty-three billion, two hundred thirty-eight million, seven hundred thirty-eight thousand, four hundred thirty-two".