14145531642 has 96 divisors (see below), whose sum is σ = 34405922304. Its totient is φ = 4162492800.

The previous prime is 14145531623. The next prime is 14145531703. The reversal of 14145531642 is 24613554141.

14145531642 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 5 + 5 + 3 + 1 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14145531597 and 14145531606.

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, 4445292 + ... + 4448472.

It is an arithmetic number, because the mean of its divisors is an integer number (358395024).

Almost surely, 2^14145531642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14145531642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17202961152).

14145531642 is an abundant number, since it is smaller than the sum of its proper divisors (20260390662).

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

14145531642 is a wasteful number, since it uses less digits than its factorization.

14145531642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3844 (or 3841 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The spelling of 14145531642 in words is "fourteen billion, one hundred forty-five million, five hundred thirty-one thousand, six hundred forty-two".