11113294348800 has 1440 divisors, whose sum is σ = 47564153949312. Its totient is φ = 2517144698880.

The previous prime is 11113294348789. The next prime is 11113294348831. The reversal of 11113294348800 is 884349231111.

11113294348800 is a `hidden beast` number, since 1 + 1 + 1 + 13 + 294 + 348 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×11113294348800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 2460324142 + ... + 2460328658.

Almost surely, 2^{11113294348800} is an apocalyptic number.

11113294348800 is a gapful number since it is divisible by the number (10) 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 11113294348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23782076974656).

11113294348800 is an abundant number, since it is smaller than the sum of its proper divisors (36450859600512).

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

11113294348800 is an equidigital number, since it uses as much as digits as its factorization.

11113294348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4680 (or 4647 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 11113294348800 in words is "eleven trillion, one hundred thirteen billion, two hundred ninety-four million, three hundred forty-eight thousand, eight hundred".