230444583940368 has 320 divisors, whose sum is σ = 757407042846720. Its totient is φ = 65715020333568.

The previous prime is 230444583940321. The next prime is 230444583940463. The reversal of 230444583940368 is 863049385444032.

It is a happy number.

230444583940368 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 4 + 4 + 583 + 9 + 40 + 3 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3718796521 + ... + 3718858487.

It is an arithmetic number, because the mean of its divisors is an integer number (2366897008896).

Almost surely, 2^{230444583940368} is an apocalyptic number.

230444583940368 is a gapful number since it is divisible by the number (28) 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 230444583940368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378703521423360).

230444583940368 is an abundant number, since it is smaller than the sum of its proper divisors (526962458906352).

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

230444583940368 is a wasteful number, since it uses less digits than its factorization.

230444583940368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64331 (or 64319 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 63.

The spelling of 230444583940368 in words is "two hundred thirty trillion, four hundred forty-four billion, five hundred eighty-three million, nine hundred forty thousand, three hundred sixty-eight".