1388097258912 has 1728 divisors, whose sum is σ = 5430103660800. Its totient is φ = 334764638208.

The previous prime is 1388097258901. The next prime is 1388097258937. The reversal of 1388097258912 is 2198527908831.

1388097258912 is a `hidden beast` number, since 1 + 38 + 8 + 0 + 9 + 7 + 2 + 589 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 1388097258912.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19015030908 + ... + 19015030980.

It is an arithmetic number, because the mean of its divisors is an integer number (3142421100).

Almost surely, 2^{1388097258912} is an apocalyptic number.

1388097258912 is a gapful number since it is divisible by the number (12) 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 1388097258912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715051830400).

1388097258912 is an abundant number, since it is smaller than the sum of its proper divisors (4042006401888).

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

1388097258912 is a wasteful number, since it uses less digits than its factorization.

1388097258912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 1388097258912 in words is "one trillion, three hundred eighty-eight billion, ninety-seven million, two hundred fifty-eight thousand, nine hundred twelve".