11164268544 has 384 divisors, whose sum is σ = 35597802240. Its totient is φ = 3067084800.

The previous prime is 11164268537. The next prime is 11164268561. The reversal of 11164268544 is 44586246111.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 11164268496 and 11164268505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85223359 + ... + 85223489.

It is an arithmetic number, because the mean of its divisors is an integer number (92702610).

Almost surely, 2^11164268544 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 11164268544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17798901120).

11164268544 is an abundant number, since it is smaller than the sum of its proper divisors (24433533696).

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

11164268544 is a wasteful number, since it uses less digits than its factorization.

11164268544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 257 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The spelling of 11164268544 in words is "eleven billion, one hundred sixty-four million, two hundred sixty-eight thousand, five hundred forty-four".