230236800278400 has 768 divisors, whose sum is σ = 873256724064000. Its totient is φ = 59170636062720.

The previous prime is 230236800278321. The next prime is 230236800278447. The reversal of 230236800278400 is 4872008632032.

230236800278400 is a `hidden beast` number, since 2 + 3 + 0 + 236 + 8 + 0 + 0 + 2 + 7 + 8 + 400 = 666.

230236800278400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1370479207 + ... + 1370647193.

It is an arithmetic number, because the mean of its divisors is an integer number (1137053026125).

Almost surely, 2^{230236800278400} is an apocalyptic number.

230236800278400 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 230236800278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436628362032000).

230236800278400 is an abundant number, since it is smaller than the sum of its proper divisors (643019923785600).

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

230236800278400 is a wasteful number, since it uses less digits than its factorization.

230236800278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168596 (or 168573 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 230236800278400 in words is "two hundred thirty trillion, two hundred thirty-six billion, eight hundred million, two hundred seventy-eight thousand, four hundred".