13341642336 has 288 divisors, whose sum is σ = 43513037568. Its totient is φ = 3840721920.

The previous prime is 13341642323. The next prime is 13341642343. The reversal of 13341642336 is 63324614331.

13341642336 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 1 + 642 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13341642336.

It is a congruent number.

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, 5038965 + ... + 5041611.

It is an arithmetic number, because the mean of its divisors is an integer number (151086936).

Almost surely, 2^13341642336 is an apocalyptic number.

13341642336 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 13341642336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21756518784).

13341642336 is an abundant number, since it is smaller than the sum of its proper divisors (30171395232).

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

13341642336 is a wasteful number, since it uses less digits than its factorization.

13341642336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2743 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The spelling of 13341642336 in words is "thirteen billion, three hundred forty-one million, six hundred forty-two thousand, three hundred thirty-six".