1388768919552 has 684 divisors, whose sum is σ = 4797156844116. Its totient is φ = 385792081920.

The previous prime is 1388768919547. The next prime is 1388768919553. The reversal of 1388768919552 is 2559198678831.

1388768919552 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 7 + 68 + 9 + 1 + 9 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 685425033216 + 703343886336 = 827904^2 + 838656^2 .

It is a super-2 number, since 2×1388768919552² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1388768919553) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4739825518 + ... + 4739825810.

It is an arithmetic number, because the mean of its divisors is an integer number (7013387199).

Almost surely, 2^{1388768919552} is an apocalyptic number.

1388768919552 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 1388768919552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398578422058).

1388768919552 is an abundant number, since it is smaller than the sum of its proper divisors (3408387924564).

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

1388768919552 is an frugal number, since it uses more digits than its factorization.

1388768919552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 346 counting only the distinct ones).

The product of its digits is 261273600, while the sum is 72.

The spelling of 1388768919552 in words is "one trillion, three hundred eighty-eight billion, seven hundred sixty-eight million, nine hundred nineteen thousand, five hundred fifty-two".