11229816559104 has 480 divisors, whose sum is σ = 38535032600064. Its totient is φ = 3103346442240.

The previous prime is 11229816559057. The next prime is 11229816559151. The reversal of 11229816559104 is 40195561892211.

11229816559104 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 9 + 81 + 6 + 559 + 1 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11229816559057) and next prime (11229816559151).

It is a super-2 number, since 2×11229816559104² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 54589689 + ... + 54795015.

Almost surely, 2^{11229816559104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11229816559104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19267516300032).

11229816559104 is an abundant number, since it is smaller than the sum of its proper divisors (27305216040960).

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

11229816559104 is a wasteful number, since it uses less digits than its factorization.

11229816559104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205458 (or 205439 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 11229816559104 in words is "eleven trillion, two hundred twenty-nine billion, eight hundred sixteen million, five hundred fifty-nine thousand, one hundred four".