11613630207816 has 288 divisors, whose sum is σ = 40049355036600. Its totient is φ = 3012722657280.

The previous prime is 11613630207799. The next prime is 11613630207821. The reversal of 11613630207816 is 61870203631611.

11613630207816 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 3 + 630 + 2 + 0 + 7 + 8 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2569115299716 + 9044514908100 = 1602846^2 + 3007410^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 722140 + ... + 4873268.

Almost surely, 2^{11613630207816} 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 11613630207816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20024677518300).

11613630207816 is an abundant number, since it is smaller than the sum of its proper divisors (28435724828784).

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

11613630207816 is a wasteful number, since it uses less digits than its factorization.

11613630207816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4151229 (or 4151215 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 11613630207816 in words is "eleven trillion, six hundred thirteen billion, six hundred thirty million, two hundred seven thousand, eight hundred sixteen".