230086923251400 has 960 divisors, whose sum is σ = 847638256608000. Its totient is φ = 57727548426240.

The previous prime is 230086923251371. The next prime is 230086923251407. The reversal of 230086923251400 is 4152329680032.

230086923251400 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 8 + 6 + 9 + 232 + 5 + 1 + 400 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (230086923251407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5718272082 + ... + 5718312318.

It is an arithmetic number, because the mean of its divisors is an integer number (882956517300).

Almost surely, 2^{230086923251400} is an apocalyptic number.

230086923251400 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 230086923251400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423819128304000).

230086923251400 is an abundant number, since it is smaller than the sum of its proper divisors (617551333356600).

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

230086923251400 is a wasteful number, since it uses less digits than its factorization.

230086923251400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40540 (or 40522 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 230086923251400 in words is "two hundred thirty trillion, eighty-six billion, nine hundred twenty-three million, two hundred fifty-one thousand, four hundred".