11193823942272 has 384 divisors, whose sum is σ = 34557197875200. Its totient is φ = 3603033861120.

The previous prime is 11193823942253. The next prime is 11193823942307. The reversal of 11193823942272 is 27224932839111.

11193823942272 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 382 + 39 + 4 + 227 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 450280179 + ... + 450305037.

It is an arithmetic number, because the mean of its divisors is an integer number (89992702800).

Almost surely, 2^{11193823942272} is an apocalyptic number.

11193823942272 is a gapful number since it is divisible by the number (12) 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 11193823942272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17278598937600).

11193823942272 is an abundant number, since it is smaller than the sum of its proper divisors (23363373932928).

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

11193823942272 is an equidigital number, since it uses as much as digits as its factorization.

11193823942272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25386 (or 25362 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 11193823942272 in words is "eleven trillion, one hundred ninety-three billion, eight hundred twenty-three million, nine hundred forty-two thousand, two hundred seventy-two".