14133759683904 has 168 divisors, whose sum is σ = 46379529255488. Its totient is φ = 4031217745920.

The previous prime is 14133759683903. The next prime is 14133759683929. The reversal of 14133759683904 is 40938695733141.

It is a happy number.

14133759683904 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 3 + 7 + 596 + 8 + 39 + 0 + 4 = 666.

14133759683904 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 (168).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14133759683903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 711142 + ... + 5364069.

Almost surely, 2^{14133759683904} is an apocalyptic number.

14133759683904 is a gapful number since it is divisible by the number (14) 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 14133759683904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23189764627744).

14133759683904 is an abundant number, since it is smaller than the sum of its proper divisors (32245769571584).

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

14133759683904 is a wasteful number, since it uses less digits than its factorization.

14133759683904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6075813 (or 6075800 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 14133759683904 in words is "fourteen trillion, one hundred thirty-three billion, seven hundred fifty-nine million, six hundred eighty-three thousand, nine hundred four".