14005108903968 has 1536 divisors, whose sum is σ = 54730287360000. Its totient is φ = 3384433704960.

The previous prime is 14005108903883. The next prime is 14005108904063. The reversal of 14005108903968 is 86930980150041.

14005108903968 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 510 + 8 + 90 + 39 + 6 + 8 = 666.

It is a super-2 number, since 2×14005108903968² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3458903608 + ... + 3458907656.

It is an arithmetic number, because the mean of its divisors is an integer number (35631697500).

Almost surely, 2^{14005108903968} is an apocalyptic number.

14005108903968 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 14005108903968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27365143680000).

14005108903968 is an abundant number, since it is smaller than the sum of its proper divisors (40725178456032).

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

14005108903968 is a wasteful number, since it uses less digits than its factorization.

14005108903968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4181 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 14005108903968 in words is "fourteen trillion, five billion, one hundred eight million, nine hundred three thousand, nine hundred sixty-eight".