14206012845696 has 768 divisors, whose sum is σ = 48314666400000. Its totient is φ = 4004592721920.

The previous prime is 14206012845649. The next prime is 14206012845727. The reversal of 14206012845696 is 69654821060241.

It is a happy number.

14206012845696 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 60 + 12 + 8 + 4 + 569 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9941225910 + ... + 9941227338.

It is an arithmetic number, because the mean of its divisors is an integer number (62909721875).

Almost surely, 2^{14206012845696} is an apocalyptic number.

14206012845696 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 14206012845696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24157333200000).

14206012845696 is an abundant number, since it is smaller than the sum of its proper divisors (34108653554304).

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

14206012845696 is a wasteful number, since it uses less digits than its factorization.

14206012845696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 14206012845696 in words is "fourteen trillion, two hundred six billion, twelve million, eight hundred forty-five thousand, six hundred ninety-six".