11242207616562 has 192 divisors, whose sum is σ = 28041520066560. Its totient is φ = 3224431245312.

The previous prime is 11242207616561. The next prime is 11242207616567. The reversal of 11242207616562 is 26561670224211.

11242207616562 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 2 + 2 + 0 + 76 + 16 + 562 = 666.

11242207616562 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11242207616561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1501559983 + ... + 1501567469.

It is an arithmetic number, because the mean of its divisors is an integer number (146049583680).

Almost surely, 2^{11242207616562} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11242207616562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14020760033280).

11242207616562 is an abundant number, since it is smaller than the sum of its proper divisors (16799312449998).

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

11242207616562 is a wasteful number, since it uses less digits than its factorization.

11242207616562 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11097 (or 11094 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 11242207616562 in words is "eleven trillion, two hundred forty-two billion, two hundred seven million, six hundred sixteen thousand, five hundred sixty-two".