13989368227968 has 768 divisors, whose sum is σ = 49876507699200. Its totient is φ = 3816159215616.

The previous prime is 13989368227943. The next prime is 13989368227973. The reversal of 13989368227968 is 86972286398931.

13989368227968 is a `hidden beast` number, since 1 + 39 + 89 + 368 + 22 + 79 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

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 95 ways as a sum of consecutive naturals, for example, 3099791280 + ... + 3099795792.

It is an arithmetic number, because the mean of its divisors is an integer number (64943369400).

Almost surely, 2^{13989368227968} is an apocalyptic number.

13989368227968 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 13989368227968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24938253849600).

13989368227968 is an abundant number, since it is smaller than the sum of its proper divisors (35887139471232).

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

13989368227968 is an equidigital number, since it uses as much as digits as its factorization.

13989368227968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5191 (or 5167 counting only the distinct ones).

The product of its digits is 3386105856, while the sum is 81.

The spelling of 13989368227968 in words is "thirteen trillion, nine hundred eighty-nine billion, three hundred sixty-eight million, two hundred twenty-seven thousand, nine hundred sixty-eight".