13524544242 has 160 divisors (see below), whose sum is σ = 36848623680. Its totient is φ = 3654097920.

The previous prime is 13524544213. The next prime is 13524544283. The reversal of 13524544242 is 24244542531.

13524544242 is a `hidden beast` number, since 1 + 3 + 524 + 54 + 42 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13524544197 and 13524544206.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 563838 + ... + 587334.

It is an arithmetic number, because the mean of its divisors is an integer number (230303898).

Almost surely, 2^13524544242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13524544242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18424311840).

13524544242 is an abundant number, since it is smaller than the sum of its proper divisors (23324079438).

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

13524544242 is a wasteful number, since it uses less digits than its factorization.

13524544242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23558 (or 23549 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

The spelling of 13524544242 in words is "thirteen billion, five hundred twenty-four million, five hundred forty-four thousand, two hundred forty-two".