233257610004 has 72 divisors (see below), whose sum is σ = 578615421888. Its totient is φ = 73122445440.

The previous prime is 233257609999. The next prime is 233257610039. The reversal of 233257610004 is 400016752332.

It is a super-2 number, since 2×233257610004² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396969 + ... + 789999.

It is an arithmetic number, because the mean of its divisors is an integer number (8036325304).

Almost surely, 2^233257610004 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 233257610004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289307710944).

233257610004 is an abundant number, since it is smaller than the sum of its proper divisors (345357811884).

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

233257610004 is a wasteful number, since it uses less digits than its factorization.

233257610004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393213 (or 393192 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 233257610004 in words is "two hundred thirty-three billion, two hundred fifty-seven million, six hundred ten thousand, four".