68631171336 has 768 divisors, whose sum is σ = 245759754240. Its totient is φ = 16826019840.

The previous prime is 68631171319. The next prime is 68631171361. The reversal of 68631171336 is 63317113686.

68631171336 is a `hidden beast` number, since 6 + 8 + 631 + 1 + 7 + 1 + 3 + 3 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 68631171291 and 68631171300.

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, 940152996 + ... + 940153068.

It is an arithmetic number, because the mean of its divisors is an integer number (319999680).

Almost surely, 2^68631171336 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 68631171336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122879877120).

68631171336 is an abundant number, since it is smaller than the sum of its proper divisors (177128582904).

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

68631171336 is a wasteful number, since it uses less digits than its factorization.

68631171336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 259 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 68631171336 in words is "sixty-eight billion, six hundred thirty-one million, one hundred seventy-one thousand, three hundred thirty-six".