13942769988096 has 480 divisors, whose sum is σ = 42589824076800. Its totient is φ = 4552717860864.

The previous prime is 13942769988089. The next prime is 13942769988113. The reversal of 13942769988096 is 69088996724931.

13942769988096 is a `hidden beast` number, since 1 + 394 + 2 + 7 + 69 + 9 + 8 + 80 + 96 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 1353267681 + ... + 1353277983.

It is an arithmetic number, because the mean of its divisors is an integer number (88728800160).

Almost surely, 2^{13942769988096} is an apocalyptic number.

13942769988096 is a gapful number since it is divisible by the number (16) 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 13942769988096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21294912038400).

13942769988096 is an abundant number, since it is smaller than the sum of its proper divisors (28647054088704).

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

13942769988096 is an equidigital number, since it uses as much as digits as its factorization.

13942769988096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10558 (or 10530 counting only the distinct ones).

The product of its (nonzero) digits is 2539579392, while the sum is 81.

The spelling of 13942769988096 in words is "thirteen trillion, nine hundred forty-two billion, seven hundred sixty-nine million, nine hundred eighty-eight thousand, ninety-six".