11008706112 has 280 divisors, whose sum is σ = 34268655872. Its totient is φ = 3489868800.

The previous prime is 11008706087. The next prime is 11008706117. The reversal of 11008706112 is 21160780011.

It is a super-2 number, since 2×11008706112² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11008706117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9802383 + ... + 9803505.

Almost surely, 2^11008706112 is an apocalyptic number.

11008706112 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 11008706112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17134327936).

11008706112 is an abundant number, since it is smaller than the sum of its proper divisors (23259949760).

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

11008706112 is a wasteful number, since it uses less digits than its factorization.

11008706112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The spelling of 11008706112 in words is "eleven billion, eight million, seven hundred six thousand, one hundred twelve".