1388338564352 has 72 divisors (see below), whose sum is σ = 2797291835520. Its totient is φ = 687677276160.

The previous prime is 1388338564343. The next prime is 1388338564367. The reversal of 1388338564352 is 2534658338831.

It is a junction number, because it is equal to n+sod(n) for n = 1388338564291 and 1388338564300.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 11749727 + ... + 11867297.

Almost surely, 2^{1388338564352} 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 1388338564352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398645917760).

1388338564352 is an abundant number, since it is smaller than the sum of its proper divisors (1408953271168).

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

1388338564352 is a wasteful number, since it uses less digits than its factorization.

1388338564352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118019 (or 118005 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 59.

The spelling of 1388338564352 in words is "one trillion, three hundred eighty-eight billion, three hundred thirty-eight million, five hundred sixty-four thousand, three hundred fifty-two".