230405333504332 has 192 divisors, whose sum is σ = 488687686502400. Its totient is φ = 92852681011200.

The previous prime is 230405333504309. The next prime is 230405333504393. The reversal of 230405333504332 is 233405333504032.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37180137858 + ... + 37180144054.

It is an arithmetic number, because the mean of its divisors is an integer number (2545248367200).

Almost surely, 2^{230405333504332} 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 230405333504332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244343843251200).

230405333504332 is an abundant number, since it is smaller than the sum of its proper divisors (258282352998068).

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

230405333504332 is a wasteful number, since it uses less digits than its factorization.

230405333504332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7464 (or 7462 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 40.

The spelling of 230405333504332 in words is "two hundred thirty trillion, four hundred five billion, three hundred thirty-three million, five hundred four thousand, three hundred thirty-two".