11102542045344 has 144 divisors (see below), whose sum is σ = 33408589294080. Its totient is φ = 3487709214720.

The previous prime is 11102542045327. The next prime is 11102542045351. The reversal of 11102542045344 is 44354024520111.

11102542045344 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 254 + 20 + 45 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 11102542045299 and 11102542045308.

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 23 ways as a sum of consecutive naturals, for example, 4266297 + ... + 6356600.

It is an arithmetic number, because the mean of its divisors is an integer number (232004092320).

Almost surely, 2^{11102542045344} is an apocalyptic number.

It is an amenable number.

11102542045344 is an abundant number, since it is smaller than the sum of its proper divisors (22306047248736).

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

11102542045344 is a wasteful number, since it uses less digits than its factorization.

11102542045344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10623123 (or 10623112 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 11102542045344 its reverse (44354024520111), we get a palindrome (55456566565455).

The spelling of 11102542045344 in words is "eleven trillion, one hundred two billion, five hundred forty-two million, forty-five thousand, three hundred forty-four".