14182515072 has 256 divisors, whose sum is σ = 46531584000. Its totient is φ = 4216043520.

The previous prime is 14182515037. The next prime is 14182515073. The reversal of 14182515072 is 27051528141.

It is a happy number.

14182515072 is a `hidden beast` number, since 1 + 418 + 25 + 150 + 72 = 666.

It is a super-2 number, since 2×14182515072² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14182515073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2011329 + ... + 2018367.

It is an arithmetic number, because the mean of its divisors is an integer number (181764000).

Almost surely, 2^14182515072 is an apocalyptic number.

14182515072 is a gapful number since it is divisible by the number (12) 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 14182515072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23265792000).

14182515072 is an abundant number, since it is smaller than the sum of its proper divisors (32349068928).

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

14182515072 is a wasteful number, since it uses less digits than its factorization.

14182515072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7126 (or 7108 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 14182515072 in words is "fourteen billion, one hundred eighty-two million, five hundred fifteen thousand, seventy-two".