230248013184 has 896 divisors, whose sum is σ = 827101255680. Its totient is φ = 62436925440.

The previous prime is 230248013179. The next prime is 230248013207. The reversal of 230248013184 is 481310842032.

It is a happy number.

230248013184 is a `hidden beast` number, since 230 + 248 + 0 + 1 + 3 + 184 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1680642364 + ... + 1680642500.

It is an arithmetic number, because the mean of its divisors is an integer number (923104080).

Almost surely, 2^230248013184 is an apocalyptic number.

230248013184 is a gapful number since it is divisible by the number (24) 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 230248013184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413550627840).

230248013184 is an abundant number, since it is smaller than the sum of its proper divisors (596853242496).

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

230248013184 is an equidigital number, since it uses as much as digits as its factorization.

230248013184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 230248013184 in words is "two hundred thirty billion, two hundred forty-eight million, thirteen thousand, one hundred eighty-four".