68187113198568 has 1280 divisors, whose sum is σ = 247160794890240. Its totient is φ = 17081694720000.

The previous prime is 68187113198447. The next prime is 68187113198629. The reversal of 68187113198568 is 86589131178186.

It is a happy number.

68187113198568 is a `hidden beast` number, since 6 + 8 + 18 + 7 + 11 + 31 + 9 + 8 + 568 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 68187113198496 and 68187113198505.

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 319 ways as a sum of consecutive naturals, for example, 30291919443 + ... + 30291921693.

It is an arithmetic number, because the mean of its divisors is an integer number (193094371008).

Almost surely, 2^{68187113198568} 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 68187113198568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123580397445120).

68187113198568 is an abundant number, since it is smaller than the sum of its proper divisors (178973681691672).

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

68187113198568 is a wasteful number, since it uses less digits than its factorization.

68187113198568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620 (or 2607 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 72.

The spelling of 68187113198568 in words is "sixty-eight trillion, one hundred eighty-seven billion, one hundred thirteen million, one hundred ninety-eight thousand, five hundred sixty-eight".