1814955289344 has 216 divisors, whose sum is σ = 5430472341840. Its totient is φ = 604573175808.

The previous prime is 1814955289307. The next prime is 1814955289369. The reversal of 1814955289344 is 4439825594181.

1814955289344 is a `hidden beast` number, since 1 + 8 + 1 + 4 + 9 + 5 + 5 + 289 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 99337042 + ... + 99355310.

Almost surely, 2^{1814955289344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1814955289344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715236170920).

1814955289344 is an abundant number, since it is smaller than the sum of its proper divisors (3615517052496).

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

1814955289344 is an equidigital number, since it uses as much as digits as its factorization.

1814955289344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19897 (or 19871 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 63.

The spelling of 1814955289344 in words is "one trillion, eight hundred fourteen billion, nine hundred fifty-five million, two hundred eighty-nine thousand, three hundred forty-four".