14134085985600 has 3024 divisors, whose sum is σ = 64526384332800. Its totient is φ = 2914071552000.

The previous prime is 14134085985587. The next prime is 14134085985629. The reversal of 14134085985600 is 658958043141.

It is a happy number.

14134085985600 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 40 + 8 + 598 + 5 + 6 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 29507486161 + ... + 29507486639.

Almost surely, 2^{14134085985600} is an apocalyptic number.

14134085985600 is a gapful number since it is divisible by the number (10) 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 14134085985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32263192166400).

14134085985600 is an abundant number, since it is smaller than the sum of its proper divisors (50392298347200).

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

14134085985600 is a wasteful number, since it uses less digits than its factorization.

14134085985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 14134085985600 in words is "fourteen trillion, one hundred thirty-four billion, eighty-five million, nine hundred eighty-five thousand, six hundred".