14401457752 has 72 divisors (see below), whose sum is σ = 29996269380. Its totient is φ = 6476870400.

The previous prime is 14401457729. The next prime is 14401457761. The reversal of 14401457752 is 25775410441.

14401457752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 17 ways as a sum of consecutive naturals, for example, 42734128 + ... + 42734464.

Almost surely, 2^14401457752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14401457752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14998134690).

14401457752 is an abundant number, since it is smaller than the sum of its proper divisors (15594811628).

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

14401457752 is a wasteful number, since it uses less digits than its factorization.

14401457752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 40.

The spelling of 14401457752 in words is "fourteen billion, four hundred one million, four hundred fifty-seven thousand, seven hundred fifty-two".