230119833600 has 972 divisors, whose sum is σ = 908112634884. Its totient is φ = 57755566080.

The previous prime is 230119833599. The next prime is 230119833623. The reversal of 230119833600 is 6338911032.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

230119833600 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 19 + 8 + 33 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 13536460792 + ... + 13536460808.

Almost surely, 2^230119833600 is an apocalyptic number.

230119833600 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 230119833600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454056317442).

230119833600 is an abundant number, since it is smaller than the sum of its proper divisors (677992801284).

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

230119833600 is an frugal number, since it uses more digits than its factorization.

230119833600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 230119833600 in words is "two hundred thirty billion, one hundred nineteen million, eight hundred thirty-three thousand, six hundred".