11268483916536 has 512 divisors, whose sum is σ = 39211739136000. Its totient is φ = 2912911372800.

The previous prime is 11268483916517. The next prime is 11268483916541. The reversal of 11268483916536 is 63561938486211.

It is a happy number.

11268483916536 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 8 + 4 + 8 + 3 + 91 + 6 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3903179685 + ... + 3903182571.

It is an arithmetic number, because the mean of its divisors is an integer number (76585428000).

Almost surely, 2^{11268483916536} 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 11268483916536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19605869568000).

11268483916536 is an abundant number, since it is smaller than the sum of its proper divisors (27943255219464).

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

11268483916536 is a wasteful number, since it uses less digits than its factorization.

11268483916536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3960 (or 3950 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 11268483916536 in words is "eleven trillion, two hundred sixty-eight billion, four hundred eighty-three million, nine hundred sixteen thousand, five hundred thirty-six".