230261194800 has 1200 divisors, whose sum is σ = 1052557007040. Its totient is φ = 46889902080.

The previous prime is 230261194799. The next prime is 230261194811. The reversal of 230261194800 is 8491162032.

230261194800 is a `hidden beast` number, since 2 + 30 + 2 + 611 + 9 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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 239 ways as a sum of consecutive naturals, for example, 85502254 + ... + 85504946.

Almost surely, 2^230261194800 is an apocalyptic number.

230261194800 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 230261194800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526278503520).

230261194800 is an abundant number, since it is smaller than the sum of its proper divisors (822295812240).

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

230261194800 is a wasteful number, since it uses less digits than its factorization.

230261194800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772 (or 2752 counting only the distinct ones).

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

The spelling of 230261194800 in words is "two hundred thirty billion, two hundred sixty-one million, one hundred ninety-four thousand, eight hundred".