14031779952 has 120 divisors (see below), whose sum is σ = 38123293584. Its totient is φ = 4443973632.

The previous prime is 14031779929. The next prime is 14031779959. The reversal of 14031779952 is 25997713041.

14031779952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14031779959) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3281688 + ... + 3285960.

Almost surely, 2^14031779952 is an apocalyptic number.

14031779952 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 14031779952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19061646792).

14031779952 is an abundant number, since it is smaller than the sum of its proper divisors (24091513632).

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

14031779952 is a wasteful number, since it uses less digits than its factorization.

14031779952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4407 (or 4358 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

The spelling of 14031779952 in words is "fourteen billion, thirty-one million, seven hundred seventy-nine thousand, nine hundred fifty-two".