11164849784088 has 1024 divisors, whose sum is σ = 40382447616000. Its totient is φ = 2479306752000.

The previous prime is 11164849784041. The next prime is 11164849784113. The reversal of 11164849784088 is 88048794846111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1618325263 + ... + 1618332161.

It is an arithmetic number, because the mean of its divisors is an integer number (39435984000).

Almost surely, 2^{11164849784088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11164849784088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20191223808000).

11164849784088 is an abundant number, since it is smaller than the sum of its proper divisors (29217597831912).

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

11164849784088 is a wasteful number, since it uses less digits than its factorization.

11164849784088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7064 (or 7060 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 69.

The spelling of 11164849784088 in words is "eleven trillion, one hundred sixty-four billion, eight hundred forty-nine million, seven hundred eighty-four thousand, eighty-eight".