1393877387664 has 80 divisors (see below), whose sum is σ = 4002450076800. Its totient is φ = 464450937984.

The previous prime is 1393877387659. The next prime is 1393877387701. The reversal of 1393877387664 is 4667837783931.

1393877387664 is a `hidden beast` number, since 1 + 393 + 87 + 7 + 38 + 76 + 64 = 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 = 1393877387592 and 1393877387601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 544602 + ... + 1756230.

It is an arithmetic number, because the mean of its divisors is an integer number (50030625960).

Almost surely, 2^{1393877387664} is an apocalyptic number.

It is an amenable number.

1393877387664 is an abundant number, since it is smaller than the sum of its proper divisors (2608572689136).

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

1393877387664 is a wasteful number, since it uses less digits than its factorization.

1393877387664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214309 (or 1214297 counting only the distinct ones).

The product of its digits is 768144384, while the sum is 72.

The spelling of 1393877387664 in words is "one trillion, three hundred ninety-three billion, eight hundred seventy-seven million, three hundred eighty-seven thousand, six hundred sixty-four".