230054515344 has 120 divisors (see below), whose sum is σ = 659034604800. Its totient is φ = 74875481856.

The previous prime is 230054515331. The next prime is 230054515351. The reversal of 230054515344 is 443515450032.

230054515344 is a `hidden beast` number, since 2 + 300 + 5 + 4 + 5 + 1 + 5 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 230054515299 and 230054515308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26924737 + ... + 26933279.

It is an arithmetic number, because the mean of its divisors is an integer number (5491955040).

Almost surely, 2^230054515344 is an apocalyptic number.

230054515344 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 230054515344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329517302400).

230054515344 is an abundant number, since it is smaller than the sum of its proper divisors (428980089456).

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

230054515344 is a wasteful number, since it uses less digits than its factorization.

230054515344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12949 (or 12940 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 230054515344 its reverse (443515450032), we get a palindrome (673569965376).

The spelling of 230054515344 in words is "two hundred thirty billion, fifty-four million, five hundred fifteen thousand, three hundred forty-four".