1812226228848 has 720 divisors, whose sum is σ = 6266606411520. Its totient is φ = 486665625600.

The previous prime is 1812226228847. The next prime is 1812226228919. The reversal of 1812226228848 is 8488226222181.

1812226228848 is a `hidden beast` number, since 1 + 8 + 1 + 2 + 2 + 2 + 622 + 8 + 8 + 4 + 8 = 666.

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 nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1812226228794 and 1812226228803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1812226228847) 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 143 ways as a sum of consecutive naturals, for example, 3560365618 + ... + 3560366126.

It is an arithmetic number, because the mean of its divisors is an integer number (8703620016).

Almost surely, 2^{1812226228848} is an apocalyptic number.

1812226228848 is a gapful number since it is divisible by the number (18) 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 1812226228848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133303205760).

1812226228848 is an abundant number, since it is smaller than the sum of its proper divisors (4454380182672).

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

1812226228848 is a wasteful number, since it uses less digits than its factorization.

1812226228848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 990 counting only the distinct ones).

The product of its digits is 3145728, while the sum is 54.

The spelling of 1812226228848 in words is "one trillion, eight hundred twelve billion, two hundred twenty-six million, two hundred twenty-eight thousand, eight hundred forty-eight".