68577338253312 has 336 divisors, whose sum is σ = 226443934484352. Its totient is φ = 19589744885760.

The previous prime is 68577338253239. The next prime is 68577338253313. The reversal of 68577338253312 is 21335283377586.

68577338253312 is a `hidden beast` number, since 6 + 8 + 5 + 7 + 7 + 3 + 3 + 82 + 533 + 12 = 666.

68577338253312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 68577338253312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68577338253313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3721559043 + ... + 3721577469.

Almost surely, 2^{68577338253312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68577338253312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113221967242176).

68577338253312 is an abundant number, since it is smaller than the sum of its proper divisors (157866596231040).

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

68577338253312 is a wasteful number, since it uses less digits than its factorization.

68577338253312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25677 (or 25650 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 63.

The spelling of 68577338253312 in words is "sixty-eight trillion, five hundred seventy-seven billion, three hundred thirty-eight million, two hundred fifty-three thousand, three hundred twelve".