1822080285648 has 480 divisors, whose sum is σ = 6374073937920. Its totient is φ = 496269607680.

The previous prime is 1822080285611. The next prime is 1822080285661. The reversal of 1822080285648 is 8465820802281.

1822080285648 is a `hidden beast` number, since 1 + 8 + 220 + 80 + 285 + 64 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1822080285594 and 1822080285603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43945215 + ... + 43986657.

It is an arithmetic number, because the mean of its divisors is an integer number (13279320704).

Almost surely, 2^{1822080285648} is an apocalyptic number.

1822080285648 is a gapful number since it is divisible by the number (18) 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 1822080285648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187036968960).

1822080285648 is an abundant number, since it is smaller than the sum of its proper divisors (4551993652272).

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

1822080285648 is a wasteful number, since it uses less digits than its factorization.

1822080285648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41572 (or 41553 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 1822080285648 in words is "one trillion, eight hundred twenty-two billion, eighty million, two hundred eighty-five thousand, six hundred forty-eight".