11141702208 has 504 divisors, whose sum is σ = 40200608448. Its totient is φ = 2888331264.

The previous prime is 11141702137. The next prime is 11141702213. The reversal of 11141702208 is 80220714111.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 56556766 + ... + 56556962.

It is an arithmetic number, because the mean of its divisors is an integer number (79763112).

Almost surely, 2^11141702208 is an apocalyptic number.

11141702208 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 11141702208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20100304224).

11141702208 is an abundant number, since it is smaller than the sum of its proper divisors (29058906240).

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

11141702208 is a wasteful number, since it uses less digits than its factorization.

11141702208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 11141702208 in words is "eleven billion, one hundred forty-one million, seven hundred two thousand, two hundred eight".