11838353225472 has 216 divisors, whose sum is σ = 35811570773888. Its totient is φ = 3756218572800.

The previous prime is 11838353225401. The next prime is 11838353225477. The reversal of 11838353225472 is 27452235383811.

11838353225472 is a `hidden beast` number, since 1 + 1 + 8 + 3 + 83 + 532 + 25 + 4 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11838353225477) 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 23 ways as a sum of consecutive naturals, for example, 2998278 + ... + 5715450.

Almost surely, 2^{11838353225472} is an apocalyptic number.

11838353225472 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 11838353225472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17905785386944).

11838353225472 is an abundant number, since it is smaller than the sum of its proper divisors (23973217548416).

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

11838353225472 is a wasteful number, since it uses less digits than its factorization.

11838353225472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717287 (or 2717270 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 11838353225472 in words is "eleven trillion, eight hundred thirty-eight billion, three hundred fifty-three million, two hundred twenty-five thousand, four hundred seventy-two".