230469839371200 has 1344 divisors, whose sum is σ = 915242993699328. Its totient is φ = 50019744153600.

The previous prime is 230469839371157. The next prime is 230469839371249. The reversal of 230469839371200 is 2173938964032.

It is a super-2 number, since 2×230469839371200² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8050771287 + ... + 8050799913.

It is an arithmetic number, because the mean of its divisors is an integer number (680984370312).

Almost surely, 2^{230469839371200} is an apocalyptic number.

230469839371200 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 230469839371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457621496849664).

230469839371200 is an abundant number, since it is smaller than the sum of its proper divisors (684773154328128).

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

230469839371200 is a wasteful number, since it uses less digits than its factorization.

230469839371200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29030 (or 29015 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 57.

The spelling of 230469839371200 in words is "two hundred thirty trillion, four hundred sixty-nine billion, eight hundred thirty-nine million, three hundred seventy-one thousand, two hundred".