11164477227904 has 512 divisors, whose sum is σ = 31182612249600. Its totient is φ = 3840373555200.

The previous prime is 11164477227899. The next prime is 11164477227941. The reversal of 11164477227904 is 40972277446111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 397567144 + ... + 397595224.

It is an arithmetic number, because the mean of its divisors is an integer number (60903539550).

Almost surely, 2^{11164477227904} is an apocalyptic number.

11164477227904 is a gapful number since it is divisible by the number (14) 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 11164477227904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15591306124800).

11164477227904 is an abundant number, since it is smaller than the sum of its proper divisors (20018135021696).

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

11164477227904 is a wasteful number, since it uses less digits than its factorization.

11164477227904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28262 (or 28250 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 55.

The spelling of 11164477227904 in words is "eleven trillion, one hundred sixty-four billion, four hundred seventy-seven million, two hundred twenty-seven thousand, nine hundred four".