230441861599488 has 2304 divisors, whose sum is σ = 926353096704000. Its totient is φ = 54708601651200.

The previous prime is 230441861599451. The next prime is 230441861599529. The reversal of 230441861599488 is 884995168144032.

It is a happy number.

230441861599488 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 41 + 8 + 6 + 15 + 99 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 33744594858 + ... + 33744601686.

It is an arithmetic number, because the mean of its divisors is an integer number (402062976000).

Almost surely, 2^{230441861599488} is an apocalyptic number.

230441861599488 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 230441861599488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463176548352000).

230441861599488 is an abundant number, since it is smaller than the sum of its proper divisors (695911235104512).

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

230441861599488 is a wasteful number, since it uses less digits than its factorization.

230441861599488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7009 (or 6989 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 230441861599488 in words is "two hundred thirty trillion, four hundred forty-one billion, eight hundred sixty-one million, five hundred ninety-nine thousand, four hundred eighty-eight".