11012453603424 has 288 divisors, whose sum is σ = 38550497207040. Its totient is φ = 2903862721536.

The previous prime is 11012453603387. The next prime is 11012453603449. The reversal of 11012453603424 is 42430635421011.

11012453603424 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 2 + 4 + 5 + 3 + 603 + 42 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 158969307 + ... + 159038565.

It is an arithmetic number, because the mean of its divisors is an integer number (133855893080).

Almost surely, 2^{11012453603424} is an apocalyptic number.

11012453603424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11012453603424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19275248603520).

11012453603424 is an abundant number, since it is smaller than the sum of its proper divisors (27538043603616).

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

11012453603424 is a wasteful number, since it uses less digits than its factorization.

11012453603424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75362 (or 75351 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 11012453603424 in words is "eleven trillion, twelve billion, four hundred fifty-three million, six hundred three thousand, four hundred twenty-four".