230349542976 has 672 divisors, whose sum is σ = 802334647296. Its totient is φ = 61820928000.

The previous prime is 230349542959. The next prime is 230349543041. The reversal of 230349542976 is 679245943032.

230349542976 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 4 + 9 + 542 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 534453481 + ... + 534453911.

It is an arithmetic number, because the mean of its divisors is an integer number (1193950368).

Almost surely, 2^230349542976 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 230349542976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401167323648).

230349542976 is an abundant number, since it is smaller than the sum of its proper divisors (571985104320).

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

230349542976 is a wasteful number, since it uses less digits than its factorization.

230349542976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 230349542976 in words is "two hundred thirty billion, three hundred forty-nine million, five hundred forty-two thousand, nine hundred seventy-six".