11197516220361 has 27 divisors (see below), whose sum is σ = 16320244550727. Its totient is φ = 7398199206720.

The previous prime is 11197516220327. The next prime is 11197516220413. The reversal of 11197516220361 is 16302261579111.

The square root of 11197516220361 is 3346269.

It is a perfect power (a square), and thus also a powerful number.

11197516220361 is a `hidden beast` number, since 1 + 1 + 19 + 7 + 5 + 1 + 622 + 0 + 3 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 197309198025 + 11000207022336 = 444195^2 + 3316656^2 .

It is a de Polignac number, because none of the positive numbers 2^k-11197516220361 is a prime.

It is a super-2 number, since 2×11197516220361² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11197516220311) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1134380256 + ... + 1134390126.

Almost surely, 2^{11197516220361} is an apocalyptic number.

11197516220361 is the 3346269-th square number.

11197516220361 is the 1673135-th centered octagonal number.

It is an amenable number.

11197516220361 is a deficient number, since it is larger than the sum of its proper divisors (5122728330366).

11197516220361 is an frugal number, since it uses more digits than its factorization.

11197516220361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19974 (or 9987 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

Adding to 11197516220361 its reverse (16302261579111), we get a palindrome (27499777799472).

The spelling of 11197516220361 in words is "eleven trillion, one hundred ninety-seven billion, five hundred sixteen million, two hundred twenty thousand, three hundred sixty-one".