11100225145824 has 72 divisors (see below), whose sum is σ = 33227647656840. Its totient is φ = 3505334254848.

The previous prime is 11100225145813. The next prime is 11100225145829. The reversal of 11100225145824 is 42854152200111.

11100225145824 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 0 + 22 + 51 + 4 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100225145829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1014269487 + ... + 1014280430.

It is an arithmetic number, because the mean of its divisors is an integer number (461495106345).

Almost surely, 2^{11100225145824} is an apocalyptic number.

It is an amenable number.

11100225145824 is an abundant number, since it is smaller than the sum of its proper divisors (22127422511016).

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

11100225145824 is a wasteful number, since it uses less digits than its factorization.

11100225145824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028549952 (or 2028549941 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

Adding to 11100225145824 its reverse (42854152200111), we get a palindrome (53954377345935).

The spelling of 11100225145824 in words is "eleven trillion, one hundred billion, two hundred twenty-five million, one hundred forty-five thousand, eight hundred twenty-four".