233432268552 has 384 divisors, whose sum is σ = 772282512000. Its totient is φ = 65119541760.

The previous prime is 233432268551. The next prime is 233432268571. The reversal of 233432268552 is 255862234332.

233432268552 is a `hidden beast` number, since 2 + 3 + 3 + 4 + 32 + 2 + 68 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 233432268498 and 233432268507.

It is not an unprimeable number, because it can be changed into a prime (233432268551) 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, 98038402 + ... + 98040782.

It is an arithmetic number, because the mean of its divisors is an integer number (2011152375).

Almost surely, 2^233432268552 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 233432268552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386141256000).

233432268552 is an abundant number, since it is smaller than the sum of its proper divisors (538850243448).

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

233432268552 is a wasteful number, since it uses less digits than its factorization.

233432268552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 2609 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The spelling of 233432268552 in words is "two hundred thirty-three billion, four hundred thirty-two million, two hundred sixty-eight thousand, five hundred fifty-two".