230968193594040 has 768 divisors, whose sum is σ = 926888531328000. Its totient is φ = 50949452252160.

The previous prime is 230968193594029. The next prime is 230968193594053. The reversal of 230968193594040 is 40495391869032.

230968193594040 is a `hidden beast` number, since 2 + 3 + 0 + 96 + 8 + 1 + 93 + 59 + 404 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3546612919 + ... + 3546678041.

It is an arithmetic number, because the mean of its divisors is an integer number (1206886108500).

Almost surely, 2^{230968193594040} is an apocalyptic number.

230968193594040 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 230968193594040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463444265664000).

230968193594040 is an abundant number, since it is smaller than the sum of its proper divisors (695920337733960).

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

230968193594040 is a wasteful number, since it uses less digits than its factorization.

230968193594040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67497 (or 67480 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 230968193594040 in words is "two hundred thirty trillion, nine hundred sixty-eight billion, one hundred ninety-three million, five hundred ninety-four thousand, forty".