233748538920 has 384 divisors, whose sum is σ = 862701840000. Its totient is φ = 54413420544.

The previous prime is 233748538913. The next prime is 233748538927. The reversal of 233748538920 is 29835847332.

233748538920 is a `hidden beast` number, since 2 + 33 + 74 + 8 + 538 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (233748538913) and next prime (233748538927).

It is not an unprimeable number, because it can be changed into a prime (233748538927) 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, 58596286 + ... + 58600274.

It is an arithmetic number, because the mean of its divisors is an integer number (2246619375).

Almost surely, 2^233748538920 is an apocalyptic number.

233748538920 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 233748538920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431350920000).

233748538920 is an abundant number, since it is smaller than the sum of its proper divisors (628953301080).

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

233748538920 is a wasteful number, since it uses less digits than its factorization.

233748538920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4697 (or 4690 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 233748538920 in words is "two hundred thirty-three billion, seven hundred forty-eight million, five hundred thirty-eight thousand, nine hundred twenty".