1812581188416 has 560 divisors, whose sum is σ = 5862000315600. Its totient is φ = 551475412992.

The previous prime is 1812581188403. The next prime is 1812581188511. The reversal of 1812581188416 is 6148811852181.

1812581188416 is a `hidden beast` number, since 1 + 8 + 1 + 2 + 581 + 18 + 8 + 41 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1145145600 + 1811436042816 = 33840^2 + 1345896^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1268425590 + ... + 1268427018.

Almost surely, 2^{1812581188416} is an apocalyptic number.

1812581188416 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 1812581188416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931000157800).

1812581188416 is an abundant number, since it is smaller than the sum of its proper divisors (4049419127184).

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

1812581188416 is a wasteful number, since it uses less digits than its factorization.

1812581188416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1877 counting only the distinct ones).

The product of its digits is 983040, while the sum is 54.

The spelling of 1812581188416 in words is "one trillion, eight hundred twelve billion, five hundred eighty-one million, one hundred eighty-eight thousand, four hundred sixteen".