230254545413200 has 480 divisors, whose sum is σ = 713678481653760. Its totient is φ = 69272601753600.

The previous prime is 230254545413177. The next prime is 230254545413209. The reversal of 230254545413200 is 2314545452032.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230254545413209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3200299627 + ... + 3200371573.

It is an arithmetic number, because the mean of its divisors is an integer number (1486830170112).

Almost surely, 2^{230254545413200} is an apocalyptic number.

230254545413200 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 230254545413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356839240826880).

230254545413200 is an abundant number, since it is smaller than the sum of its proper divisors (483423936240560).

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

230254545413200 is a wasteful number, since it uses less digits than its factorization.

230254545413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75595 (or 75584 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

The spelling of 230254545413200 in words is "two hundred thirty trillion, two hundred fifty-four billion, five hundred forty-five million, four hundred thirteen thousand, two hundred".