11635901112 has 384 divisors, whose sum is σ = 35990438400. Its totient is φ = 3116805120.

The previous prime is 11635901087. The next prime is 11635901129. The reversal of 11635901112 is 21110953611.

11635901112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11635901112.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 67259458 + ... + 67259630.

It is an arithmetic number, because the mean of its divisors is an integer number (93725100).

Almost surely, 2^11635901112 is an apocalyptic number.

11635901112 is a gapful number since it is divisible by the number (12) 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 11635901112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17995219200).

11635901112 is an abundant number, since it is smaller than the sum of its proper divisors (24354537288).

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

11635901112 is a wasteful number, since it uses less digits than its factorization.

11635901112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 30.

The spelling of 11635901112 in words is "eleven billion, six hundred thirty-five million, nine hundred one thousand, one hundred twelve".