14165624142 has 128 divisors (see below), whose sum is σ = 33488640000. Its totient is φ = 4431563136.

The previous prime is 14165624129. The next prime is 14165624183. The reversal of 14165624142 is 24142656141.

14165624142 is a `hidden beast` number, since 1 + 4 + 16 + 5 + 624 + 14 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14165624097 and 14165624106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8287984 + ... + 8289692.

It is an arithmetic number, because the mean of its divisors is an integer number (261630000).

Almost surely, 2^14165624142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14165624142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16744320000).

14165624142 is an abundant number, since it is smaller than the sum of its proper divisors (19323015858).

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

14165624142 is a wasteful number, since it uses less digits than its factorization.

14165624142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895 (or 1889 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 14165624142 in words is "fourteen billion, one hundred sixty-five million, six hundred twenty-four thousand, one hundred forty-two".