14002257297888 has 288 divisors, whose sum is σ = 41560392837600. Its totient is φ = 4637311451136.

The previous prime is 14002257297877. The next prime is 14002257297943. The reversal of 14002257297888 is 88879275220041.

14002257297888 is a `hidden beast` number, since 1 + 40 + 0 + 225 + 7 + 297 + 8 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2864030548 + ... + 2864035436.

It is an arithmetic number, because the mean of its divisors is an integer number (144306919575).

Almost surely, 2^{14002257297888} is an apocalyptic number.

14002257297888 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 14002257297888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20780196418800).

14002257297888 is an abundant number, since it is smaller than the sum of its proper divisors (27558135539712).

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

14002257297888 is a wasteful number, since it uses less digits than its factorization.

14002257297888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7216 (or 7196 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 14002257297888 in words is "fourteen trillion, two billion, two hundred fifty-seven million, two hundred ninety-seven thousand, eight hundred eighty-eight".