230737072161024 has 729 divisors, whose sum is σ = 792184065081591. Its totient is φ = 64512673505280.

The previous prime is 230737072160993. The next prime is 230737072161073. The reversal of 230737072161024 is 420161270737032.

The square root of 230737072161024 is 15190032.

It is a perfect power (a square), and thus also a powerful number.

230737072161024 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 3 + 7 + 0 + 7 + 2 + 1 + 610 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21437196321024 + 209299875840000 = 4630032^2 + 14467200^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 104264378542 + ... + 104264380754.

Almost surely, 2^{230737072161024} is an apocalyptic number.

230737072161024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

230737072161024 is the 15190032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230737072161024

230737072161024 is an abundant number, since it is smaller than the sum of its proper divisors (561446992920567).

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

230737072161024 is an equidigital number, since it uses as much as digits as its factorization.

230737072161024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4496 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 230737072161024 in words is "two hundred thirty trillion, seven hundred thirty-seven billion, seventy-two million, one hundred sixty-one thousand, twenty-four".