1388112768000 has 1408 divisors, whose sum is σ = 5988113664000. Its totient is φ = 317011968000.

The previous prime is 1388112767969. The next prime is 1388112768017. The reversal of 1388112768000 is 8672118831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 1185407415 + ... + 1185408585.

Almost surely, 2^{1388112768000} is an apocalyptic number.

1388112768000 is a gapful number since it is divisible by the number (10) 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 1388112768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994056832000).

1388112768000 is an abundant number, since it is smaller than the sum of its proper divisors (4600000896000).

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

1388112768000 is an equidigital number, since it uses as much as digits as its factorization.

1388112768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 1388112768000 in words is "one trillion, three hundred eighty-eight billion, one hundred twelve million, seven hundred sixty-eight thousand".