230999337475200 has 1536 divisors, whose sum is σ = 984122383564800. Its totient is φ = 51824141107200.

The previous prime is 230999337475171. The next prime is 230999337475237. The reversal of 230999337475200 is 2574733999032.

230999337475200 is a `hidden beast` number, since 2 + 3 + 0 + 9 + 9 + 9 + 33 + 74 + 7 + 520 + 0 = 666.

It is a super-2 number, since 2×230999337475200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 11386559457 + ... + 11386579743.

It is an arithmetic number, because the mean of its divisors is an integer number (640704676800).

Almost surely, 2^{230999337475200} is an apocalyptic number.

230999337475200 is a gapful number since it is divisible by the number (20) 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 230999337475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492061191782400).

230999337475200 is an abundant number, since it is smaller than the sum of its proper divisors (753123046089600).

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

230999337475200 is a wasteful number, since it uses less digits than its factorization.

230999337475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20675 (or 20652 counting only the distinct ones).

The product of its (nonzero) digits is 77157360, while the sum is 63.

The spelling of 230999337475200 in words is "two hundred thirty trillion, nine hundred ninety-nine billion, three hundred thirty-seven million, four hundred seventy-five thousand, two hundred".