11638607085 has 48 divisors (see below), whose sum is σ = 24057955584. Its totient is φ = 5089176576.

The previous prime is 11638607081. The next prime is 11638607087. The reversal of 11638607085 is 58070683611.

11638607085 is a `hidden beast` number, since 1 + 1 + 6 + 38 + 607 + 0 + 8 + 5 = 666.

It is not a de Polignac number, because 11638607085 - 2² = 11638607081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 11638607085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11638607081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 795972 + ... + 810461.

It is an arithmetic number, because the mean of its divisors is an integer number (501207408).

Almost surely, 2^11638607085 is an apocalyptic number.

11638607085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11638607085 is an abundant number, since it is smaller than the sum of its proper divisors (12419348499).

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

11638607085 is a wasteful number, since it uses less digits than its factorization.

11638607085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606474 (or 1606471 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11638607085 in words is "eleven billion, six hundred thirty-eight million, six hundred seven thousand, eighty-five".