11214955008 has 320 divisors, whose sum is σ = 34812771840. Its totient is φ = 3561062400.

The previous prime is 11214955007. The next prime is 11214955009. The reversal of 11214955008 is 80055941211.

11214955008 is a `hidden beast` number, since 1 + 1 + 2 + 149 + 5 + 500 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (11214955007) and next prime (11214955009).

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

It is not an unprimeable number, because it can be changed into a prime (11214955007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26638638 + ... + 26639058.

It is an arithmetic number, because the mean of its divisors is an integer number (108789912).

Almost surely, 2^11214955008 is an apocalyptic number.

11214955008 is a gapful number since it is divisible by the number (18) 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 11214955008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17406385920).

11214955008 is an abundant number, since it is smaller than the sum of its proper divisors (23597816832).

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

11214955008 is an equidigital number, since it uses as much as digits as its factorization.

11214955008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 11214955008 in words is "eleven billion, two hundred fourteen million, nine hundred fifty-five thousand, eight".