230051053344 has 288 divisors, whose sum is σ = 747784094400. Its totient is φ = 61567672320.

The previous prime is 230051053343. The next prime is 230051053367. The reversal of 230051053344 is 443350150032.

It is not an unprimeable number, because it can be changed into a prime (230051053343) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7940004 + ... + 7968924.

It is an arithmetic number, because the mean of its divisors is an integer number (2596472550).

Almost surely, 2^230051053344 is an apocalyptic number.

230051053344 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 230051053344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373892047200).

230051053344 is an abundant number, since it is smaller than the sum of its proper divisors (517733041056).

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

230051053344 is a wasteful number, since it uses less digits than its factorization.

230051053344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29056 (or 29041 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 230051053344 in words is "two hundred thirty billion, fifty-one million, fifty-three thousand, three hundred forty-four".