13771074636 has 144 divisors (see below), whose sum is σ = 38947184640. Its totient is φ = 4066959360.

The previous prime is 13771074631. The next prime is 13771074643. The reversal of 13771074636 is 63647017731.

13771074636 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 1 + 0 + 7 + 4 + 636 = 666.

13771074636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13771074591 and 13771074600.

It is not an unprimeable number, because it can be changed into a prime (13771074631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4781845 + ... + 4784723.

It is an arithmetic number, because the mean of its divisors is an integer number (270466560).

Almost surely, 2^13771074636 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 13771074636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19473592320).

13771074636 is an abundant number, since it is smaller than the sum of its proper divisors (25176110004).

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

13771074636 is a wasteful number, since it uses less digits than its factorization.

13771074636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204 (or 3199 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 13771074636 in words is "thirteen billion, seven hundred seventy-one million, seventy-four thousand, six hundred thirty-six".