230053431455424 has 448 divisors, whose sum is σ = 681604165140480. Its totient is φ = 76087972131840.

The previous prime is 230053431455413. The next prime is 230053431455443. The reversal of 230053431455424 is 424554134350032.

230053431455424 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 5 + 34 + 31 + 45 + 542 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 230053431455424.

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, 127031159479 + ... + 127031161289.

Almost surely, 2^{230053431455424} is an apocalyptic number.

230053431455424 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 230053431455424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340802082570240).

230053431455424 is an abundant number, since it is smaller than the sum of its proper divisors (451550733685056).

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

230053431455424 is a wasteful number, since it uses less digits than its factorization.

230053431455424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 230053431455424 in words is "two hundred thirty trillion, fifty-three billion, four hundred thirty-one million, four hundred fifty-five thousand, four hundred twenty-four".