14114139755520 has 528 divisors, whose sum is σ = 54796774589568. Its totient is φ = 3085820559360.

The previous prime is 14114139755519. The next prime is 14114139755603. The reversal of 14114139755520 is 2555793141141.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 14114139755520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16903050 + ... + 17718390.

It is an arithmetic number, because the mean of its divisors is an integer number (103781770056).

Almost surely, 2^{14114139755520} is an apocalyptic number.

14114139755520 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 14114139755520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27398387294784).

14114139755520 is an abundant number, since it is smaller than the sum of its proper divisors (40682634834048).

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

14114139755520 is a wasteful number, since it uses less digits than its factorization.

14114139755520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815406 (or 815381 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 48.

The spelling of 14114139755520 in words is "fourteen trillion, one hundred fourteen billion, one hundred thirty-nine million, seven hundred fifty-five thousand, five hundred twenty".