230538264264 has 768 divisors, whose sum is σ = 865779840000. Its totient is φ = 56043187200.

The previous prime is 230538264233. The next prime is 230538264287. The reversal of 230538264264 is 462462835032.

230538264264 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 382 + 6 + 4 + 264 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 196872399 + ... + 196873569.

It is an arithmetic number, because the mean of its divisors is an integer number (1127317500).

Almost surely, 2^230538264264 is an apocalyptic number.

230538264264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230538264264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432889920000).

230538264264 is an abundant number, since it is smaller than the sum of its proper divisors (635241575736).

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

230538264264 is a wasteful number, since it uses less digits than its factorization.

230538264264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 230538264264 in words is "two hundred thirty billion, five hundred thirty-eight million, two hundred sixty-four thousand, two hundred sixty-four".