1814274668544 has 192 divisors, whose sum is σ = 5435434368000. Its totient is φ = 533966585856.

The previous prime is 1814274668533. The next prime is 1814274668603. The reversal of 1814274668544 is 4458664724181.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1343257 + ... + 2330855.

It is an arithmetic number, because the mean of its divisors is an integer number (28309554000).

Almost surely, 2^{1814274668544} 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 1814274668544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717717184000).

1814274668544 is an abundant number, since it is smaller than the sum of its proper divisors (3621159699456).

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

1814274668544 is a wasteful number, since it uses less digits than its factorization.

1814274668544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987660 (or 987640 counting only the distinct ones).

The product of its digits is 41287680, while the sum is 60.

The spelling of 1814274668544 in words is "one trillion, eight hundred fourteen billion, two hundred seventy-four million, six hundred sixty-eight thousand, five hundred forty-four".