1812883968 has 480 divisors, whose sum is σ = 6468633600. Its totient is φ = 487710720.

The previous prime is 1812883939. The next prime is 1812883991. The reversal of 1812883968 is 8693882181.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48996846 + ... + 48996882.

It is an arithmetic number, because the mean of its divisors is an integer number (13476320).

Almost surely, 2^1812883968 is an apocalyptic number.

1812883968 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 1812883968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3234316800).

1812883968 is an abundant number, since it is smaller than the sum of its proper divisors (4655749632).

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

1812883968 is an equidigital number, since it uses as much as digits as its factorization.

1812883968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 80 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The square root of 1812883968 is about 42577.9751514794. The cubic root of 1812883968 is about 1219.3358312715.

The spelling of 1812883968 in words is "one billion, eight hundred twelve million, eight hundred eighty-three thousand, nine hundred sixty-eight".