11273248111104 has 480 divisors, whose sum is σ = 37601358537600. Its totient is φ = 3184908926976.

The previous prime is 11273248111091. The next prime is 11273248111159. The reversal of 11273248111104 is 40111184237211.

11273248111104 is a `hidden beast` number, since 1 + 1 + 2 + 73 + 2 + 481 + 1 + 1 + 104 = 666.

It is a super-2 number, since 2×11273248111104² (a number of 27 digits) contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 1090989522 + ... + 1090999854.

It is an arithmetic number, because the mean of its divisors is an integer number (78336163620).

Almost surely, 2^{11273248111104} is an apocalyptic number.

11273248111104 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 11273248111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18800679268800).

11273248111104 is an abundant number, since it is smaller than the sum of its proper divisors (26328110426496).

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

11273248111104 is a wasteful number, since it uses less digits than its factorization.

11273248111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10740 (or 10721 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 11273248111104 in words is "eleven trillion, two hundred seventy-three billion, two hundred forty-eight million, one hundred eleven thousand, one hundred four".