14014114114000 has 320 divisors, whose sum is σ = 45497464975872. Its totient is φ = 4032032256000.

The previous prime is 14014114113991. The next prime is 14014114114031. The reversal of 14014114114000 is 41141141041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1498029 + ... + 5502028.

Almost surely, 2^{14014114114000} is an apocalyptic number.

14014114114000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14014114114000 is an abundant number, since it is smaller than the sum of its proper divisors (31483350861872).

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

14014114114000 is a wasteful number, since it uses less digits than its factorization.

14014114114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7000111 (or 7000095 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 14014114114000 its reverse (41141141041), we get a palindrome (14055255255041).

The spelling of 14014114114000 in words is "fourteen trillion, fourteen billion, one hundred fourteen million, one hundred fourteen thousand".