13314726144 has 108 divisors (see below), whose sum is σ = 39114329436. Its totient is φ = 4354461696.

The previous prime is 13314726137. The next prime is 13314726167. The reversal of 13314726144 is 44162741331.

13314726144 is a `hidden beast` number, since 1 + 3 + 31 + 4 + 7 + 2 + 614 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4236447744 + 9078278400 = 65088^2 + 95280^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 13314726099 and 13314726108.

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, 67594 + ... + 176630.

It is an arithmetic number, because the mean of its divisors is an integer number (362169717).

Almost surely, 2^13314726144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13314726144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19557164718).

13314726144 is an abundant number, since it is smaller than the sum of its proper divisors (25799603292).

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

13314726144 is a wasteful number, since it uses less digits than its factorization.

13314726144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109112 (or 109095 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The spelling of 13314726144 in words is "thirteen billion, three hundred fourteen million, seven hundred twenty-six thousand, one hundred forty-four".