13823228736 has 84 divisors (see below), whose sum is σ = 39654926532. Its totient is φ = 4603889664.

The previous prime is 13823228729. The next prime is 13823228777. The reversal of 13823228736 is 63782232831.

13823228736 is a `hidden beast` number, since 138 + 232 + 287 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9593027136 + 4230201600 = 97944^2 + 65040^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13823228691 and 13823228700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 726156 + ... + 744948.

Almost surely, 2^13823228736 is an apocalyptic number.

13823228736 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 13823228736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19827463266).

13823228736 is an abundant number, since it is smaller than the sum of its proper divisors (25831697796).

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

13823228736 is a wasteful number, since it uses less digits than its factorization.

13823228736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20088 (or 20075 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 13823228736 in words is "thirteen billion, eight hundred twenty-three million, two hundred twenty-eight thousand, seven hundred thirty-six".