1812690944064 has 1120 divisors, whose sum is σ = 7362882912000. Its totient is φ = 434550251520.

The previous prime is 1812690944063. The next prime is 1812690944111. The reversal of 1812690944064 is 4604490962181.

1812690944064 is a `hidden beast` number, since 1 + 81 + 2 + 69 + 0 + 9 + 440 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1812690944064.

It is not an unprimeable number, because it can be changed into a prime (1812690944063) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 254266452 + ... + 254273580.

It is an arithmetic number, because the mean of its divisors is an integer number (6574002600).

Almost surely, 2^{1812690944064} is an apocalyptic number.

1812690944064 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 1812690944064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681441456000).

1812690944064 is an abundant number, since it is smaller than the sum of its proper divisors (5550191967936).

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

1812690944064 is a wasteful number, since it uses less digits than its factorization.

1812690944064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7198 (or 7165 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 1812690944064 in words is "one trillion, eight hundred twelve billion, six hundred ninety million, nine hundred forty-four thousand, sixty-four".