230845224960 has 1728 divisors, whose sum is σ = 1027713173760. Its totient is φ = 47563407360.

The previous prime is 230845224947. The next prime is 230845225027. The reversal of 230845224960 is 69422548032.

230845224960 is a `hidden beast` number, since 2 + 3 + 0 + 84 + 522 + 49 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 143 ways as a sum of consecutive naturals, for example, 2379847632 + ... + 2379847728.

It is an arithmetic number, because the mean of its divisors is an integer number (594741420).

Almost surely, 2^230845224960 is an apocalyptic number.

230845224960 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 230845224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513856586880).

230845224960 is an abundant number, since it is smaller than the sum of its proper divisors (796867948800).

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

230845224960 is a wasteful number, since it uses less digits than its factorization.

230845224960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 230845224960 in words is "two hundred thirty billion, eight hundred forty-five million, two hundred twenty-four thousand, nine hundred sixty".