233257315764 has 192 divisors, whose sum is σ = 628403650560. Its totient is φ = 66675947520.

The previous prime is 233257315763. The next prime is 233257315787. The reversal of 233257315764 is 467513752332.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233257315763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175777269 + ... + 175778595.

It is an arithmetic number, because the mean of its divisors is an integer number (3272935680).

Almost surely, 2^233257315764 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 233257315764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314201825280).

233257315764 is an abundant number, since it is smaller than the sum of its proper divisors (395146334796).

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

233257315764 is a wasteful number, since it uses less digits than its factorization.

233257315764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2398 (or 2396 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 48.

The spelling of 233257315764 in words is "two hundred thirty-three billion, two hundred fifty-seven million, three hundred fifteen thousand, seven hundred sixty-four".