11400813666 has 320 divisors, whose sum is σ = 30902788224. Its totient is φ = 3102105600.

The previous prime is 11400813631. The next prime is 11400813667. The reversal of 11400813666 is 66631800411.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11400813666.

It is not an unprimeable number, because it can be changed into a prime (11400813667) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 83217550 + ... + 83217686.

Almost surely, 2^11400813666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11400813666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15451394112).

11400813666 is an abundant number, since it is smaller than the sum of its proper divisors (19501974558).

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

11400813666 is a wasteful number, since it uses less digits than its factorization.

11400813666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11400813666 in words is "eleven billion, four hundred million, eight hundred thirteen thousand, six hundred sixty-six".