230006918400 has 864 divisors, whose sum is σ = 930155132928. Its totient is φ = 48903782400.

The previous prime is 230006918389. The next prime is 230006918417. The reversal of 230006918400 is 4819600032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114373395 + ... + 114375405.

Almost surely, 2^230006918400 is an apocalyptic number.

230006918400 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 230006918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465077566464).

230006918400 is an abundant number, since it is smaller than the sum of its proper divisors (700148214528).

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

230006918400 is a wasteful number, since it uses less digits than its factorization.

230006918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 230006918400 in words is "two hundred thirty billion, six million, nine hundred eighteen thousand, four hundred".