13643552142 has 64 divisors (see below), whose sum is σ = 33286176000. Its totient is φ = 4108047840.

The previous prime is 13643552141. The next prime is 13643552149. The reversal of 13643552142 is 24125534631.

13643552142 is a `hidden beast` number, since 1 + 3 + 6 + 435 + 5 + 214 + 2 = 666.

It is a super-2 number, since 2×13643552142² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13643552097 and 13643552106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13643552141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20109 + ... + 166407.

It is an arithmetic number, because the mean of its divisors is an integer number (520096500).

Almost surely, 2^13643552142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13643552142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16643088000).

13643552142 is an abundant number, since it is smaller than the sum of its proper divisors (19642623858).

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

13643552142 is a wasteful number, since it uses less digits than its factorization.

13643552142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146478 (or 146472 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The spelling of 13643552142 in words is "thirteen billion, six hundred forty-three million, five hundred fifty-two thousand, one hundred forty-two".