11116622905600 has 243 divisors, whose sum is σ = 27956002605181. Its totient is φ = 4376551782400.

The previous prime is 11116622905579. The next prime is 11116622905607. The reversal of 11116622905600 is 650922661111.

It is a happy number.

The square root of 11116622905600 is 3334160.

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., 4001984246016 + 7114638659584 = 2000496^2 + 2667328^2 .

It is a super-2 number, since 2×11116622905600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11116622905607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18938028507 + ... + 18938029093.

Almost surely, 2^{11116622905600} is an apocalyptic number.

11116622905600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11116622905600 is the 3334160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11116622905600

11116622905600 is an abundant number, since it is smaller than the sum of its proper divisors (16839379699581).

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

11116622905600 is an frugal number, since it uses more digits than its factorization.

11116622905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 11116622905600 in words is "eleven trillion, one hundred sixteen billion, six hundred twenty-two million, nine hundred five thousand, six hundred".