230541459456 has 768 divisors, whose sum is σ = 824797296000. Its totient is φ = 56481546240.

The previous prime is 230541459431. The next prime is 230541459493. The reversal of 230541459456 is 654954145032.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1006731150 + ... + 1006731378.

Almost surely, 2^230541459456 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 230541459456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412398648000).

230541459456 is an abundant number, since it is smaller than the sum of its proper divisors (594255836544).

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

230541459456 is a wasteful number, since it uses less digits than its factorization.

230541459456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 230541459456 in words is "two hundred thirty billion, five hundred forty-one million, four hundred fifty-nine thousand, four hundred fifty-six".