13661844336 has 240 divisors, whose sum is σ = 47069368320. Its totient is φ = 3613040640.

The previous prime is 13661844331. The next prime is 13661844347. The reversal of 13661844336 is 63344816631.

13661844336 is a `hidden beast` number, since 1 + 36 + 6 + 184 + 433 + 6 = 666.

It is a super-2 number, since 2×13661844336² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13661844291 and 13661844300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13661844331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 709200 + ... + 728208.

It is an arithmetic number, because the mean of its divisors is an integer number (196122368).

Almost surely, 2^13661844336 is an apocalyptic number.

13661844336 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 13661844336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23534684160).

13661844336 is an abundant number, since it is smaller than the sum of its proper divisors (33407523984).

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

13661844336 is a wasteful number, since it uses less digits than its factorization.

13661844336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19084 (or 19075 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 13661844336 in words is "thirteen billion, six hundred sixty-one million, eight hundred forty-four thousand, three hundred thirty-six".