11634056402436 has 120 divisors (see below), whose sum is σ = 32763199933464. Its totient is φ = 3578620953600.

The previous prime is 11634056402407. The next prime is 11634056402531. The reversal of 11634056402436 is 63420465043611.

11634056402436 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 40 + 564 + 0 + 2 + 43 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27974569536 + 11606081832900 = 167256^2 + 3406770^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11634056402391 and 11634056402400.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13485436 + ... + 14322188.

Almost surely, 2^{11634056402436} 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 11634056402436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16381599966732).

11634056402436 is an abundant number, since it is smaller than the sum of its proper divisors (21129143531028).

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

11634056402436 is a wasteful number, since it uses less digits than its factorization.

11634056402436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840083 (or 840072 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 11634056402436 in words is "eleven trillion, six hundred thirty-four billion, fifty-six million, four hundred two thousand, four hundred thirty-six".