1812928449024 has 1800 divisors, whose sum is σ = 7083035070804. Its totient is φ = 459841536000.

The previous prime is 1812928448983. The next prime is 1812928449053. The reversal of 1812928449024 is 4209448292181.

1812928449024 is a `hidden beast` number, since 1 + 8 + 129 + 2 + 8 + 4 + 490 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1625931014400 + 186997434624 = 1275120^2 + 432432^2 .

It is a super-2 number, since 2×1812928449024² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 17949786574 + ... + 17949786674.

Almost surely, 2^{1812928449024} is an apocalyptic number.

1812928449024 is a gapful number since it is divisible by the number (14) 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 1812928449024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541517535402).

1812928449024 is an abundant number, since it is smaller than the sum of its proper divisors (5270106621780).

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

1812928449024 is a wasteful number, since it uses less digits than its factorization.

1812928449024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 1812928449024 in words is "one trillion, eight hundred twelve billion, nine hundred twenty-eight million, four hundred forty-nine thousand, twenty-four".