14091097549968 has 120 divisors (see below), whose sum is σ = 41170818107328. Its totient is φ = 4490550510336.

The previous prime is 14091097549957. The next prime is 14091097550011. The reversal of 14091097549968 is 86994579019041.

14091097549968 is a `hidden beast` number, since 1 + 4 + 0 + 9 + 1 + 0 + 9 + 75 + 499 + 68 = 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 = 14091097549896 and 14091097549905.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5510346 + ... + 7651542.

Almost surely, 2^{14091097549968} is an apocalyptic number.

14091097549968 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 14091097549968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20585409053664).

14091097549968 is an abundant number, since it is smaller than the sum of its proper divisors (27079720557360).

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

14091097549968 is a wasteful number, since it uses less digits than its factorization.

14091097549968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143221 (or 2143212 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 72.

The spelling of 14091097549968 in words is "fourteen trillion, ninety-one billion, ninety-seven million, five hundred forty-nine thousand, nine hundred sixty-eight".