230762285740800 has 1296 divisors, whose sum is σ = 961411113438048. Its totient is φ = 52185425510400.

The previous prime is 230762285740769. The next prime is 230762285740841. The reversal of 230762285740800 is 8047582267032.

230762285740800 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 6 + 228 + 5 + 7 + 408 + 0 + 0 = 666.

It is a super-3 number, since 3×230762285740800³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1217050804 + ... + 1217240396.

It is an arithmetic number, because the mean of its divisors is an integer number (741829562838).

Almost surely, 2^{230762285740800} is an apocalyptic number.

230762285740800 is a gapful number since it is divisible by the number (20) 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 230762285740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480705556719024).

230762285740800 is an abundant number, since it is smaller than the sum of its proper divisors (730648827697248).

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

230762285740800 is a wasteful number, since it uses less digits than its factorization.

230762285740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189766 (or 189744 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 230762285740800 in words is "two hundred thirty trillion, seven hundred sixty-two billion, two hundred eighty-five million, seven hundred forty thousand, eight hundred".