230576274432 has 880 divisors, whose sum is σ = 821766021120. Its totient is φ = 63040094208.

The previous prime is 230576274419. The next prime is 230576274469. The reversal of 230576274432 is 234472675032.

230576274432 is a `hidden beast` number, since 2 + 3 + 0 + 576 + 2 + 7 + 44 + 32 = 666.

230576274432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1815561153 + ... + 1815561279.

It is an arithmetic number, because the mean of its divisors is an integer number (933825024).

Almost surely, 2^230576274432 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 230576274432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410883010560).

230576274432 is an abundant number, since it is smaller than the sum of its proper divisors (591189746688).

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

230576274432 is a wasteful number, since it uses less digits than its factorization.

230576274432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 45.

The spelling of 230576274432 in words is "two hundred thirty billion, five hundred seventy-six million, two hundred seventy-four thousand, four hundred thirty-two".