68395230144 has 336 divisors, whose sum is σ = 215244232960. Its totient is φ = 21291724800.

The previous prime is 68395230143. The next prime is 68395230149. The reversal of 68395230144 is 44103259386.

68395230144 is a `hidden beast` number, since 6 + 83 + 9 + 523 + 0 + 1 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 68395230144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68395230143) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 75407739 + ... + 75408645.

Almost surely, 2^68395230144 is an apocalyptic number.

68395230144 is a gapful number since it is divisible by the number (64) 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 68395230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107622116480).

68395230144 is an abundant number, since it is smaller than the sum of its proper divisors (146849002816).

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

68395230144 is a wasteful number, since it uses less digits than its factorization.

68395230144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 68395230144 in words is "sixty-eight billion, three hundred ninety-five million, two hundred thirty thousand, one hundred forty-four".