11194857558144 has 1536 divisors, whose sum is σ = 40014835660800. Its totient is φ = 2965950038016.

The previous prime is 11194857558103. The next prime is 11194857558151. The reversal of 11194857558144 is 44185575849111.

11194857558144 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 4 + 8 + 5 + 7 + 5 + 581 + 44 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22256177797 + ... + 22256178299.

It is an arithmetic number, because the mean of its divisors is an integer number (26051325300).

Almost surely, 2^{11194857558144} 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 11194857558144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20007417830400).

11194857558144 is an abundant number, since it is smaller than the sum of its proper divisors (28819978102656).

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

11194857558144 is a wasteful number, since it uses less digits than its factorization.

11194857558144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 707 counting only the distinct ones).

The product of its digits is 32256000, while the sum is 63.

The spelling of 11194857558144 in words is "eleven trillion, one hundred ninety-four billion, eight hundred fifty-seven million, five hundred fifty-eight thousand, one hundred forty-four".