14083006408704 has 384 divisors, whose sum is σ = 44204194944000. Its totient is φ = 4417763328000.

The previous prime is 14083006408697. The next prime is 14083006408727. The reversal of 14083006408704 is 40780460038041.

14083006408704 is a `hidden beast` number, since 140 + 8 + 30 + 0 + 6 + 408 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 14083006408704.

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 31 ways as a sum of consecutive naturals, for example, 158599839 + ... + 158688609.

It is an arithmetic number, because the mean of its divisors is an integer number (115115091000).

Almost surely, 2^{14083006408704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14083006408704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22102097472000).

14083006408704 is an abundant number, since it is smaller than the sum of its proper divisors (30121188535296).

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

14083006408704 is a wasteful number, since it uses less digits than its factorization.

14083006408704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88972 (or 88946 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 14083006408704 in words is "fourteen trillion, eighty-three billion, six million, four hundred eight thousand, seven hundred four".