1388346231168 has 1280 divisors, whose sum is σ = 4958047987200. Its totient is φ = 383113691136.

The previous prime is 1388346231133. The next prime is 1388346231197. The reversal of 1388346231168 is 8611326438831.

1388346231168 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 3 + 4 + 623 + 1 + 1 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14312847696 + ... + 14312847792.

It is an arithmetic number, because the mean of its divisors is an integer number (3873474990).

Almost surely, 2^{1388346231168} is an apocalyptic number.

1388346231168 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 1388346231168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479023993600).

1388346231168 is an abundant number, since it is smaller than the sum of its proper divisors (3569701756032).

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

1388346231168 is an frugal number, since it uses more digits than its factorization.

1388346231168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 157 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 1388346231168 in words is "one trillion, three hundred eighty-eight billion, three hundred forty-six million, two hundred thirty-one thousand, one hundred sixty-eight".