13442705536 has 64 divisors (see below), whose sum is σ = 28861179480. Its totient is φ = 6199861248.

The previous prime is 13442705531. The next prime is 13442705543. The reversal of 13442705536 is 63550724431.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12179329600 + 1263375936 = 110360^2 + 35544^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (13442705531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3820450 + ... + 3823966.

Almost surely, 2^13442705536 is an apocalyptic number.

13442705536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13442705536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14430589740).

13442705536 is an abundant number, since it is smaller than the sum of its proper divisors (15418473944).

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

13442705536 is a wasteful number, since it uses less digits than its factorization.

13442705536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5841 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 40.

The spelling of 13442705536 in words is "thirteen billion, four hundred forty-two million, seven hundred five thousand, five hundred thirty-six".