13988291381568 has 560 divisors, whose sum is σ = 50467379871744. Its totient is φ = 3739785707520.

The previous prime is 13988291381507. The next prime is 13988291381569. The reversal of 13988291381568 is 86518319288931.

13988291381568 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 8 + 29 + 1 + 38 + 1 + 568 = 666.

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 = 13988291381496 and 13988291381505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13988291381569) 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 79 ways as a sum of consecutive naturals, for example, 106657473 + ... + 106788543.

Almost surely, 2^{13988291381568} is an apocalyptic number.

13988291381568 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 13988291381568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25233689935872).

13988291381568 is an abundant number, since it is smaller than the sum of its proper divisors (36479088490176).

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

13988291381568 is a wasteful number, since it uses less digits than its factorization.

13988291381568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131292 (or 131273 counting only the distinct ones).

The product of its digits is 179159040, while the sum is 72.

The spelling of 13988291381568 in words is "thirteen trillion, nine hundred eighty-eight billion, two hundred ninety-one million, three hundred eighty-one thousand, five hundred sixty-eight".