14016105911808 has 4320 divisors, whose sum is σ = 61427438392320. Its totient is φ = 3034954137600.

The previous prime is 14016105911771. The next prime is 14016105911851. The reversal of 14016105911808 is 80811950161041.

It is a happy number.

14016105911808 is a `hidden beast` number, since 1 + 40 + 1 + 6 + 1 + 0 + 591 + 18 + 0 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 209195610591 + ... + 209195610657.

Almost surely, 2^{14016105911808} is an apocalyptic number.

14016105911808 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 14016105911808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30713719196160).

14016105911808 is an abundant number, since it is smaller than the sum of its proper divisors (47411332480512).

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

14016105911808 is a wasteful number, since it uses less digits than its factorization.

14016105911808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 45.

The spelling of 14016105911808 in words is "fourteen trillion, sixteen billion, one hundred five million, nine hundred eleven thousand, eight hundred eight".