14011294838520 has 512 divisors, whose sum is σ = 50747345510400. Its totient is φ = 3027251791872.

The previous prime is 14011294838467. The next prime is 14011294838633. The reversal of 14011294838520 is 2583849211041.

It is a super-3 number, since 3×14011294838520³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14011294838520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 266009227 + ... + 266061893.

It is an arithmetic number, because the mean of its divisors is an integer number (99115909200).

Almost surely, 2^{14011294838520} is an apocalyptic number.

14011294838520 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 14011294838520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25373672755200).

14011294838520 is an abundant number, since it is smaller than the sum of its proper divisors (36736050671880).

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

14011294838520 is a wasteful number, since it uses less digits than its factorization.

14011294838520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52947 (or 52943 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 14011294838520 in words is "fourteen trillion, eleven billion, two hundred ninety-four million, eight hundred thirty-eight thousand, five hundred twenty".