11174021483904 has 256 divisors, whose sum is σ = 33560769830400. Its totient is φ = 3659105249280.

The previous prime is 11174021483857. The next prime is 11174021483909. The reversal of 11174021483904 is 40938412047111.

11174021483904 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 40 + 214 + 8 + 390 + 4 = 666.

It is a super-2 number, since 2×11174021483904² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11174021483904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11174021483909) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 173469367 + ... + 173533769.

It is an arithmetic number, because the mean of its divisors is an integer number (131096757150).

Almost surely, 2^{11174021483904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11174021483904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16780384915200).

11174021483904 is an abundant number, since it is smaller than the sum of its proper divisors (22386748346496).

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

11174021483904 is an equidigital number, since it uses as much as digits as its factorization.

11174021483904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65310 (or 65292 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 11174021483904 in words is "eleven trillion, one hundred seventy-four billion, twenty-one million, four hundred eighty-three thousand, nine hundred four".