13945431424 has 64 divisors (see below), whose sum is σ = 28679531760. Its totient is φ = 6749374464.

The previous prime is 13945431419. The next prime is 13945431431. The reversal of 13945431424 is 42413454931.

13945431424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 925519 + ... + 940465.

Almost surely, 2^13945431424 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 13945431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14339765880).

13945431424 is an abundant number, since it is smaller than the sum of its proper divisors (14734100336).

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

13945431424 is a wasteful number, since it uses less digits than its factorization.

13945431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15195 (or 15183 counting only the distinct ones).

The product of its digits is 207360, while the sum is 40.

The spelling of 13945431424 in words is "thirteen billion, nine hundred forty-five million, four hundred thirty-one thousand, four hundred twenty-four".