11266656149056 has 189 divisors, whose sum is σ = 28591934641137. Its totient is φ = 4388800711680.

The previous prime is 11266656149053. The next prime is 11266656149087. The reversal of 11266656149056 is 65094165666211.

The square root of 11266656149056 is 3356584.

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

It can be written as a sum of positive squares in only one way, i.e., 1163412475456 + 10103243673600 = 1078616^2 + 3178560^2 .

It is a super-3 number, since 3×11266656149056³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (11266656149053) 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, 2067653020 + ... + 2067658468.

Almost surely, 2^{11266656149056} is an apocalyptic number.

11266656149056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11266656149056 is the 3356584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11266656149056

11266656149056 is an abundant number, since it is smaller than the sum of its proper divisors (17325278492081).

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

11266656149056 is an frugal number, since it uses more digits than its factorization.

11266656149056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10946 (or 5469 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 58.

The spelling of 11266656149056 in words is "eleven trillion, two hundred sixty-six billion, six hundred fifty-six million, one hundred forty-nine thousand, fifty-six".