1821545179344 has 480 divisors, whose sum is σ = 6268155062400. Its totient is φ = 501588541440.

The previous prime is 1821545179343. The next prime is 1821545179379. The reversal of 1821545179344 is 4439715451281.

1821545179344 is a `hidden beast` number, since 1 + 8 + 2 + 1 + 545 + 1 + 7 + 93 + 4 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1821545179343) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 39803644 + ... + 39849380.

It is an arithmetic number, because the mean of its divisors is an integer number (13058656380).

Almost surely, 2^{1821545179344} 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 1821545179344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134077531200).

1821545179344 is an abundant number, since it is smaller than the sum of its proper divisors (4446609883056).

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

1821545179344 is a wasteful number, since it uses less digits than its factorization.

1821545179344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45828 (or 45799 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 1821545179344 in words is "one trillion, eight hundred twenty-one billion, five hundred forty-five million, one hundred seventy-nine thousand, three hundred forty-four".