230191104000 has 1024 divisors, whose sum is σ = 906861795840. Its totient is φ = 51118080000.

The previous prime is 230191103999. The next prime is 230191104007. The reversal of 230191104000 is 401191032.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230191104007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1757183935 + ... + 1757184065.

Almost surely, 2^230191104000 is an apocalyptic number.

230191104000 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 230191104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453430897920).

230191104000 is an abundant number, since it is smaller than the sum of its proper divisors (676670691840).

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

230191104000 is a wasteful number, since it uses less digits than its factorization.

230191104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 230191104000 its reverse (401191032), we get a palindrome (230592295032).

The spelling of 230191104000 in words is "two hundred thirty billion, one hundred ninety-one million, one hundred four thousand".