11636281575936 has 120 divisors (see below), whose sum is σ = 33586565718420. Its totient is φ = 3878359842816.

The previous prime is 11636281575929. The next prime is 11636281576067. The reversal of 11636281575936 is 63957518263611.

11636281575936 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 6 + 28 + 1 + 575 + 9 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11548143841536 + 88137734400 = 3398256^2 + 296880^2 .

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, 46272556 + ... + 46523348.

Almost surely, 2^{11636281575936} is an apocalyptic number.

11636281575936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11636281575936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16793282859210).

11636281575936 is an abundant number, since it is smaller than the sum of its proper divisors (21950284142484).

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

11636281575936 is a wasteful number, since it uses less digits than its factorization.

11636281575936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260886 (or 260867 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The spelling of 11636281575936 in words is "eleven trillion, six hundred thirty-six billion, two hundred eighty-one million, five hundred seventy-five thousand, nine hundred thirty-six".