230444460480416 has 192 divisors, whose sum is σ = 592565473559808. Its totient is φ = 85608511193088.

The previous prime is 230444460480371. The next prime is 230444460480427. The reversal of 230444460480416 is 614084064444032.

It is a super-2 number, since 2×230444460480416² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16676246 + ... + 27184298.

It is an arithmetic number, because the mean of its divisors is an integer number (3086278508124).

Almost surely, 2^{230444460480416} is an apocalyptic number.

230444460480416 is a gapful number since it is divisible by the number (26) 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 230444460480416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296282736779904).

230444460480416 is an abundant number, since it is smaller than the sum of its proper divisors (362121013079392).

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

230444460480416 is a wasteful number, since it uses less digits than its factorization.

230444460480416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10508543 (or 10508535 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 50.

The spelling of 230444460480416 in words is "two hundred thirty trillion, four hundred forty-four billion, four hundred sixty million, four hundred eighty thousand, four hundred sixteen".