230086147200 has 768 divisors, whose sum is σ = 946896061440. Its totient is φ = 47808921600.

The previous prime is 230086147183. The next prime is 230086147271. The reversal of 230086147200 is 2741680032.

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, 58529235 + ... + 58533165.

It is an arithmetic number, because the mean of its divisors is an integer number (1232937580).

Almost surely, 2^230086147200 is an apocalyptic number.

230086147200 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 230086147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473448030720).

230086147200 is an abundant number, since it is smaller than the sum of its proper divisors (716809914240).

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

230086147200 is a wasteful number, since it uses less digits than its factorization.

230086147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4045 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 230086147200 in words is "two hundred thirty billion, eighty-six million, one hundred forty-seven thousand, two hundred".