14391965952 has 720 divisors, whose sum is σ = 54846570240. Its totient is φ = 3650863104.

The previous prime is 14391965921. The next prime is 14391965957. The reversal of 14391965952 is 25956919341.

14391965952 is a `hidden beast` number, since 1 + 4 + 39 + 19 + 6 + 595 + 2 = 666.

14391965952 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 (54).

It is not an unprimeable number, because it can be changed into a prime (14391965957) 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 79 ways as a sum of consecutive naturals, for example, 54722173 + ... + 54722435.

It is an arithmetic number, because the mean of its divisors is an integer number (76175792).

Almost surely, 2^14391965952 is an apocalyptic number.

14391965952 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 14391965952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27423285120).

14391965952 is an abundant number, since it is smaller than the sum of its proper divisors (40454604288).

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

14391965952 is a wasteful number, since it uses less digits than its factorization.

14391965952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 317 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 54.

The spelling of 14391965952 in words is "fourteen billion, three hundred ninety-one million, nine hundred sixty-five thousand, nine hundred fifty-two".