13726800906 has 144 divisors (see below), whose sum is σ = 34715703168. Its totient is φ = 3606220800.

The previous prime is 13726800853. The next prime is 13726800917. The reversal of 13726800906 is 60900862731.

It is a happy number.

It is a super-2 number, since 2×13726800906² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21414346 + ... + 21414986.

It is an arithmetic number, because the mean of its divisors is an integer number (241081272).

Almost surely, 2^13726800906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13726800906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17357851584).

13726800906 is an abundant number, since it is smaller than the sum of its proper divisors (20988902262).

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

13726800906 is a wasteful number, since it uses less digits than its factorization.

13726800906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 13726800906 in words is "thirteen billion, seven hundred twenty-six million, eight hundred thousand, nine hundred six".