230077552896 has 135 divisors (see below), whose sum is σ = 686255653083. Its totient is φ = 76669493760.

The previous prime is 230077552879. The next prime is 230077552897. The reversal of 230077552896 is 698255770032.

The square root of 230077552896 is 479664.

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

230077552896 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 7 + 7 + 552 + 89 + 6 = 666.

It is a super-2 number, since 2×230077552896² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (230077552897) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 69069951 + ... + 69073281.

Almost surely, 2^230077552896 is an apocalyptic number.

230077552896 is the 479664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230077552896

230077552896 is an abundant number, since it is smaller than the sum of its proper divisors (456178100187).

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

230077552896 is an frugal number, since it uses more digits than its factorization.

230077552896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6690 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 230077552896 in words is "two hundred thirty billion, seventy-seven million, five hundred fifty-two thousand, eight hundred ninety-six".