1813220528448 has 448 divisors, whose sum is σ = 5862860349440. Its totient is φ = 483048603648.

The previous prime is 1813220528423. The next prime is 1813220528501. The reversal of 1813220528448 is 8448250223181.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1813220528397 and 1813220528406.

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 63 ways as a sum of consecutive naturals, for example, 1366405161 + ... + 1366406487.

Almost surely, 2^{1813220528448} 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 1813220528448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931430174720).

1813220528448 is an abundant number, since it is smaller than the sum of its proper divisors (4049639820992).

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

1813220528448 is a wasteful number, since it uses less digits than its factorization.

1813220528448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 1813220528448 in words is "one trillion, eight hundred thirteen billion, two hundred twenty million, five hundred twenty-eight thousand, four hundred forty-eight".