1321677135768 has 128 divisors (see below), whose sum is σ = 3700046718720. Its totient is φ = 389958965760.

The previous prime is 1321677135683. The next prime is 1321677135791. The reversal of 1321677135768 is 8675317761231.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3414946 + ... + 3782222.

It is an arithmetic number, because the mean of its divisors is an integer number (28906614990).

Almost surely, 2^{1321677135768} 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 1321677135768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850023359360).

1321677135768 is an abundant number, since it is smaller than the sum of its proper divisors (2378369582952).

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

1321677135768 is a wasteful number, since it uses less digits than its factorization.

1321677135768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367657 (or 367653 counting only the distinct ones).

The product of its digits is 8890560, while the sum is 57.

The spelling of 1321677135768 in words is "one trillion, three hundred twenty-one billion, six hundred seventy-seven million, one hundred thirty-five thousand, seven hundred sixty-eight".