14340884253696 has 3168 divisors, whose sum is σ = 61408674199040. Its totient is φ = 3216263086080.

The previous prime is 14340884253667. The next prime is 14340884253727. The reversal of 14340884253696 is 69635248804341.

14340884253696 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 0 + 8 + 8 + 4 + 2 + 536 + 96 = 666.

14340884253696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-2 number, since 2×14340884253696² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 87980884911 + ... + 87980885073.

Almost surely, 2^{14340884253696} is an apocalyptic number.

14340884253696 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 14340884253696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30704337099520).

14340884253696 is an abundant number, since it is smaller than the sum of its proper divisors (47067789945344).

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

14340884253696 is a wasteful number, since it uses less digits than its factorization.

14340884253696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 14340884253696 in words is "fourteen trillion, three hundred forty billion, eight hundred eighty-four million, two hundred fifty-three thousand, six hundred ninety-six".