14782369056 has 768 divisors, whose sum is σ = 54054604800. Its totient is φ = 3427909632.

The previous prime is 14782369033. The next prime is 14782369061. The reversal of 14782369056 is 65096328741.

It is a super-2 number, since 2×14782369056² (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 (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 178100791 + ... + 178100873.

It is an arithmetic number, because the mean of its divisors is an integer number (70383600).

It is a 1-persistent number, because it is pandigital, but 2⋅14782369056 = 29564738112 is not.

Almost surely, 2^14782369056 is an apocalyptic number.

14782369056 is a gapful number since it is divisible by the number (16) 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 14782369056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27027302400).

14782369056 is an abundant number, since it is smaller than the sum of its proper divisors (39272235744).

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

14782369056 is a wasteful number, since it uses less digits than its factorization.

14782369056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 14782369056 in words is "fourteen billion, seven hundred eighty-two million, three hundred sixty-nine thousand, fifty-six".