1268660354688 has 256 divisors, whose sum is σ = 3990247833600. Its totient is φ = 395892845568.

The previous prime is 1268660354669. The next prime is 1268660354791. The reversal of 1268660354688 is 8864530668621.

It is a happy number.

1268660354688 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 6 + 6 + 0 + 3 + 546 + 88 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3566145 + ... + 3905727.

It is an arithmetic number, because the mean of its divisors is an integer number (15586905600).

Almost surely, 2^{1268660354688} is an apocalyptic number.

1268660354688 is a gapful number since it is divisible by the number (18) 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 1268660354688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995123916800).

1268660354688 is an abundant number, since it is smaller than the sum of its proper divisors (2721587478912).

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

1268660354688 is a wasteful number, since it uses less digits than its factorization.

1268660354688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339676 (or 339658 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 1268660354688 in words is "one trillion, two hundred sixty-eight billion, six hundred sixty million, three hundred fifty-four thousand, six hundred eighty-eight".