11200427663616 has 567 divisors, whose sum is σ = 34349293518813. Its totient is φ = 3643355842560.

The previous prime is 11200427663609. The next prime is 11200427663651. The reversal of 11200427663616 is 61636672400211.

The square root of 11200427663616 is 3346704.

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

11200427663616 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 0 + 4 + 2 + 7 + 6 + 636 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 364217078016 + 10836210585600 = 603504^2 + 3291840^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 88192343745 + ... + 88192343871.

Almost surely, 2^{11200427663616} is an apocalyptic number.

11200427663616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11200427663616 is the 3346704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11200427663616

11200427663616 is an abundant number, since it is smaller than the sum of its proper divisors (23148865855197).

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

11200427663616 is an frugal number, since it uses more digits than its factorization.

11200427663616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 11200427663616 in words is "eleven trillion, two hundred billion, four hundred twenty-seven million, six hundred sixty-three thousand, six hundred sixteen".