1822192784256 has 128 divisors (see below), whose sum is σ = 5243368384800. Its totient is φ = 560674443264.

The previous prime is 1822192784219. The next prime is 1822192784257. The reversal of 1822192784256 is 6524872912281.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1822192784256² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1822192784196 and 1822192784205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1822192784257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236301 + ... + 1923596.

Almost surely, 2^{1822192784256} is an apocalyptic number.

1822192784256 is a gapful number since it is divisible by the number (16) 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 1822192784256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621684192400).

1822192784256 is an abundant number, since it is smaller than the sum of its proper divisors (3421175600544).

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

1822192784256 is an equidigital number, since it uses as much as digits as its factorization.

1822192784256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159953 (or 2159915 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 57.

The spelling of 1822192784256 in words is "one trillion, eight hundred twenty-two billion, one hundred ninety-two million, seven hundred eighty-four thousand, two hundred fifty-six".