11390764454784 has 896 divisors, whose sum is σ = 40107668227200. Its totient is φ = 3175370035200.

The previous prime is 11390764454747. The next prime is 11390764454891. The reversal of 11390764454784 is 48745446709311.

It is a happy number.

11390764454784 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 0 + 7 + 6 + 4 + 4 + 547 + 84 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4416735607 + ... + 4416738185.

It is an arithmetic number, because the mean of its divisors is an integer number (44763022575).

Almost surely, 2^{11390764454784} 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 11390764454784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20053834113600).

11390764454784 is an abundant number, since it is smaller than the sum of its proper divisors (28716903772416).

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

11390764454784 is a wasteful number, since it uses less digits than its factorization.

11390764454784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2966 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 11390764454784 in words is "eleven trillion, three hundred ninety billion, seven hundred sixty-four million, four hundred fifty-four thousand, seven hundred eighty-four".