68287977431716 has 405 divisors, whose sum is σ = 149512398396291. Its totient is φ = 27288304348032.

The previous prime is 68287977431711. The next prime is 68287977431747. The reversal of 68287977431716 is 61713477978286.

The square root of 68287977431716 is 8263654.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 27260365553316 + 41027611878400 = 5221146^2 + 6405280^2 .

It is not an unprimeable number, because it can be changed into a prime (68287977431711) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1288452404346 + ... + 1288452404398.

Almost surely, 2^{68287977431716} is an apocalyptic number.

68287977431716 is the 8263654-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68287977431716

68287977431716 is an abundant number, since it is smaller than the sum of its proper divisors (81224420964575).

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

68287977431716 is an frugal number, since it uses more digits than its factorization.

68287977431716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 142 counting only the distinct ones).

The product of its digits is 1194891264, while the sum is 76.

The spelling of 68287977431716 in words is "sixty-eight trillion, two hundred eighty-seven billion, nine hundred seventy-seven million, four hundred thirty-one thousand, seven hundred sixteen".