230745729600 has 189 divisors, whose sum is σ = 820329733353. Its totient is φ = 61516823040.

The previous prime is 230745729581. The next prime is 230745729631. The reversal of 230745729600 is 6927547032.

The square root of 230745729600 is 480360.

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

230745729600 is a `hidden beast` number, since 2 + 3 + 0 + 74 + 572 + 9 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83068462656 + 147677266944 = 288216^2 + 384288^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 57641199 + ... + 57645201.

Almost surely, 2^230745729600 is an apocalyptic number.

230745729600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

230745729600 is the 480360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230745729600

230745729600 is an abundant number, since it is smaller than the sum of its proper divisors (589584003753).

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

230745729600 is an frugal number, since it uses more digits than its factorization.

230745729600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8034 (or 4013 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 230745729600 in words is "two hundred thirty billion, seven hundred forty-five million, seven hundred twenty-nine thousand, six hundred".