11164685112 has 256 divisors, whose sum is σ = 36188160000. Its totient is φ = 3123619200.

The previous prime is 11164685087. The next prime is 11164685141. The reversal of 11164685112 is 21158646111.

11164685112 is a `hidden beast` number, since 1 + 1 + 1 + 646 + 8 + 5 + 1 + 1 + 2 = 666.

It is a super-2 number, since 2×11164685112² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18036339 + ... + 18036957.

It is an arithmetic number, because the mean of its divisors is an integer number (141360000).

Almost surely, 2^11164685112 is an apocalyptic number.

11164685112 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 11164685112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18094080000).

11164685112 is an abundant number, since it is smaller than the sum of its proper divisors (25023474888).

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

11164685112 is a wasteful number, since it uses less digits than its factorization.

11164685112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 861 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The spelling of 11164685112 in words is "eleven billion, one hundred sixty-four million, six hundred eighty-five thousand, one hundred twelve".