13364010144 has 72 divisors (see below), whose sum is σ = 39314407860. Its totient is φ = 4301058048.

The previous prime is 13364010139. The next prime is 13364010157. The reversal of 13364010144 is 44101046331.

13364010144 is a `hidden beast` number, since 1 + 3 + 3 + 640 + 1 + 0 + 14 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11651043600 + 1712966544 = 107940^2 + 41388^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 791697 + ... + 808400.

Almost surely, 2^13364010144 is an apocalyptic number.

It is an amenable number.

13364010144 is an abundant number, since it is smaller than the sum of its proper divisors (25950397716).

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

13364010144 is a wasteful number, since it uses less digits than its factorization.

13364010144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600142 (or 1600131 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13364010144 its reverse (44101046331), we get a palindrome (57465056475).

The spelling of 13364010144 in words is "thirteen billion, three hundred sixty-four million, ten thousand, one hundred forty-four".