11628561884562 has 768 divisors, whose sum is σ = 32408208408576. Its totient is φ = 3055431456000.

The previous prime is 11628561884539. The next prime is 11628561884573. The reversal of 11628561884562 is 26548816582611.

11628561884562 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 8 + 5 + 61 + 8 + 8 + 4 + 562 = 666.

11628561884562 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11628561884562.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 35131606737 + ... + 35131607067.

It is an arithmetic number, because the mean of its divisors is an integer number (42198188032).

Almost surely, 2^{11628561884562} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11628561884562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16204104204288).

11628561884562 is an abundant number, since it is smaller than the sum of its proper divisors (20779646524014).

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

11628561884562 is a wasteful number, since it uses less digits than its factorization.

11628561884562 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 605 counting only the distinct ones).

The product of its digits is 44236800, while the sum is 63.

The spelling of 11628561884562 in words is "eleven trillion, six hundred twenty-eight billion, five hundred sixty-one million, eight hundred eighty-four thousand, five hundred sixty-two".