13945895424 has 120 divisors (see below), whose sum is σ = 42367422240. Its totient is φ = 4403939328.

The previous prime is 13945895393. The next prime is 13945895449. The reversal of 13945895424 is 42459854931.

It is a happy number.

13945895424 is a `hidden beast` number, since 1 + 3 + 9 + 4 + 589 + 54 + 2 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7909 + ... + 167195.

It is an arithmetic number, because the mean of its divisors is an integer number (353061852).

Almost surely, 2^13945895424 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 13945895424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21183711120).

13945895424 is an abundant number, since it is smaller than the sum of its proper divisors (28421526816).

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

13945895424 is a wasteful number, since it uses less digits than its factorization.

13945895424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159330 (or 159311 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 13945895424 in words is "thirteen billion, nine hundred forty-five million, eight hundred ninety-five thousand, four hundred twenty-four".