2243756211138 has 256 divisors, whose sum is σ = 5531723366400. Its totient is φ = 669835837440.

The previous prime is 2243756211119. The next prime is 2243756211161. The reversal of 2243756211138 is 8311126573422.

2243756211138 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 7 + 5 + 621 + 1 + 13 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2243756211093 and 2243756211102.

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 127 ways as a sum of consecutive naturals, for example, 2917758018 + ... + 2917758786.

It is an arithmetic number, because the mean of its divisors is an integer number (21608294400).

Almost surely, 2^{2243756211138} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2243756211138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765861683200).

2243756211138 is an abundant number, since it is smaller than the sum of its proper divisors (3287967155262).

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

2243756211138 is a wasteful number, since it uses less digits than its factorization.

2243756211138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1488 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 2243756211138 in words is "two trillion, two hundred forty-three billion, seven hundred fifty-six million, two hundred eleven thousand, one hundred thirty-eight".