13436581079394 has 192 divisors, whose sum is σ = 32143598323200. Its totient is φ = 4022756789760.

The previous prime is 13436581079393. The next prime is 13436581079429. The reversal of 13436581079394 is 49397018563431.

It is a happy number.

13436581079394 is a `hidden beast` number, since 1 + 3 + 43 + 6 + 581 + 0 + 7 + 9 + 3 + 9 + 4 = 666.

It is a super-2 number, since 2×13436581079394² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13436581079393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6513126007 + ... + 6513128069.

It is an arithmetic number, because the mean of its divisors is an integer number (167414574600).

Almost surely, 2^{13436581079394} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13436581079394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16071799161600).

13436581079394 is an abundant number, since it is smaller than the sum of its proper divisors (18707017243806).

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

13436581079394 is a wasteful number, since it uses less digits than its factorization.

13436581079394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 13436581079394 in words is "thirteen trillion, four hundred thirty-six billion, five hundred eighty-one million, seventy-nine thousand, three hundred ninety-four".