230461890120 has 2016 divisors, whose sum is σ = 1050006101760. Its totient is φ = 45265651200.

The previous prime is 230461890053. The next prime is 230461890167. The reversal of 230461890120 is 21098164032.

230461890120 is a `hidden beast` number, since 2 + 30 + 4 + 618 + 9 + 0 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×230461890120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 5359578819 + ... + 5359578861.

It is an arithmetic number, because the mean of its divisors is an integer number (520836360).

Almost surely, 2^230461890120 is an apocalyptic number.

230461890120 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 230461890120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525003050880).

230461890120 is an abundant number, since it is smaller than the sum of its proper divisors (819544211640).

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

230461890120 is a wasteful number, since it uses less digits than its factorization.

230461890120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 230461890120 in words is "two hundred thirty billion, four hundred sixty-one million, eight hundred ninety thousand, one hundred twenty".