14185016442 has 96 divisors (see below), whose sum is σ = 32279083200. Its totient is φ = 4496212224.

The previous prime is 14185016383. The next prime is 14185016459. The reversal of 14185016442 is 24461058141.

14185016442 is a `hidden beast` number, since 1 + 4 + 1 + 8 + 5 + 0 + 1 + 644 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14185016397 and 14185016406.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9939733 + ... + 9941159.

It is an arithmetic number, because the mean of its divisors is an integer number (336240450).

Almost surely, 2^14185016442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14185016442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16139541600).

14185016442 is an abundant number, since it is smaller than the sum of its proper divisors (18094066758).

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

14185016442 is a wasteful number, since it uses less digits than its factorization.

14185016442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 14185016442 in words is "fourteen billion, one hundred eighty-five million, sixteen thousand, four hundred forty-two".