1387883607768 has 896 divisors, whose sum is σ = 4820308377600. Its totient is φ = 365699432448.

The previous prime is 1387883607763. The next prime is 1387883607779. The reversal of 1387883607768 is 8677063887831.

1387883607768 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 8 + 8 + 3 + 607 + 7 + 6 + 8 = 666.

It is a super-2 number, since 2×1387883607768² (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 junction number, because it is equal to n+sod(n) for n = 1387883607696 and 1387883607705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1387883607763) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 7191106680 + ... + 7191106872.

Almost surely, 2^{1387883607768} is an apocalyptic number.

1387883607768 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 1387883607768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410154188800).

1387883607768 is an abundant number, since it is smaller than the sum of its proper divisors (3432424769832).

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

1387883607768 is a wasteful number, since it uses less digits than its factorization.

1387883607768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 72.

The spelling of 1387883607768 in words is "one trillion, three hundred eighty-seven billion, eight hundred eighty-three million, six hundred seven thousand, seven hundred sixty-eight".