11144335264164 has 192 divisors, whose sum is σ = 29577306931200. Its totient is φ = 3627687772800.

The previous prime is 11144335264133. The next prime is 11144335264169. The reversal of 11144335264164 is 46146253344111.

11144335264164 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 433 + 52 + 6 + 4 + 164 = 666.

It is not an unprimeable number, because it can be changed into a prime (11144335264169) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1002272997 + ... + 1002284115.

It is an arithmetic number, because the mean of its divisors is an integer number (154048473600).

Almost surely, 2^{11144335264164} 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 11144335264164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14788653465600).

11144335264164 is an abundant number, since it is smaller than the sum of its proper divisors (18432971667036).

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

11144335264164 is a wasteful number, since it uses less digits than its factorization.

11144335264164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12271 (or 12263 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 11144335264164 in words is "eleven trillion, one hundred forty-four billion, three hundred thirty-five million, two hundred sixty-four thousand, one hundred sixty-four".