230815236960 has 1728 divisors, whose sum is σ = 1092206384640. Its totient is φ = 45140336640.

The previous prime is 230815236937. The next prime is 230815236991. The reversal of 230815236960 is 69632518032.

230815236960 is a `hidden beast` number, since 2 + 3 + 0 + 8 + 1 + 523 + 69 + 60 = 666.

It is a super-2 number, since 2×230815236960² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13577366872 + ... + 13577366888.

It is an arithmetic number, because the mean of its divisors is an integer number (632063880).

Almost surely, 2^230815236960 is an apocalyptic number.

230815236960 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 230815236960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546103192320).

230815236960 is an abundant number, since it is smaller than the sum of its proper divisors (861391147680).

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

230815236960 is an equidigital number, since it uses as much as digits as its factorization.

230815236960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 230815236960 in words is "two hundred thirty billion, eight hundred fifteen million, two hundred thirty-six thousand, nine hundred sixty".