14405913456 has 160 divisors (see below), whose sum is σ = 41107011840. Its totient is φ = 4347016960.

The previous prime is 14405913443. The next prime is 14405913491. The reversal of 14405913456 is 65431950441.

It is a happy number.

14405913456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 28302130 + ... + 28302638.

It is an arithmetic number, because the mean of its divisors is an integer number (256918824).

Almost surely, 2^14405913456 is an apocalyptic number.

14405913456 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 14405913456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20553505920).

14405913456 is an abundant number, since it is smaller than the sum of its proper divisors (26701098384).

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

14405913456 is a wasteful number, since it uses less digits than its factorization.

14405913456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 14405913456 in words is "fourteen billion, four hundred five million, nine hundred thirteen thousand, four hundred fifty-six".