14556905104 has 135 divisors (see below), whose sum is σ = 34146873891. Its totient is φ = 5993991360.

The previous prime is 14556905089. The next prime is 14556905149. The reversal of 14556905104 is 40150965541.

It is a happy number.

The square root of 14556905104 is 120652.

It is a perfect power (a square), and thus also a powerful number.

14556905104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14556905104² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 104725867 + ... + 104726005.

Almost surely, 2^14556905104 is an apocalyptic number.

14556905104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

14556905104 is the 120652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14556905104

14556905104 is an abundant number, since it is smaller than the sum of its proper divisors (19589968787).

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

14556905104 is an equidigital number, since it uses as much as digits as its factorization.

14556905104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 40.

The spelling of 14556905104 in words is "fourteen billion, five hundred fifty-six million, nine hundred five thousand, one hundred four".