11348282205504 has 224 divisors, whose sum is σ = 35158704384000. Its totient is φ = 3579487262208.

The previous prime is 11348282205497. The next prime is 11348282205521. The reversal of 11348282205504 is 40550228284311.

11348282205504 is a `hidden beast` number, since 1 + 1 + 3 + 48 + 2 + 82 + 20 + 5 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11348282205504.

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 31 ways as a sum of consecutive naturals, for example, 28001497 + ... + 28403879.

Almost surely, 2^{11348282205504} 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 11348282205504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17579352192000).

11348282205504 is an abundant number, since it is smaller than the sum of its proper divisors (23810422178496).

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

11348282205504 is a wasteful number, since it uses less digits than its factorization.

11348282205504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403282 (or 403266 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 11348282205504 in words is "eleven trillion, three hundred forty-eight billion, two hundred eighty-two million, two hundred five thousand, five hundred four".