1822800328104 has 384 divisors, whose sum is σ = 5800736747520. Its totient is φ = 473792256000.

The previous prime is 1822800328093. The next prime is 1822800328127. The reversal of 1822800328104 is 4018230082281.

It is a super-2 number, since 2×1822800328104² (a number of 25 digits) contains 22 as substring.

1822800328104 is a modest number, since divided by 328104 gives 182280 as remainder.

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, 899259139 + ... + 899261165.

It is an arithmetic number, because the mean of its divisors is an integer number (15106085280).

Almost surely, 2^{1822800328104} is an apocalyptic number.

1822800328104 is a gapful number since it is divisible by the number (14) 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 1822800328104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900368373760).

1822800328104 is an abundant number, since it is smaller than the sum of its proper divisors (3977936419416).

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

1822800328104 is a wasteful number, since it uses less digits than its factorization.

1822800328104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3549 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 1822800328104 in words is "one trillion, eight hundred twenty-two billion, eight hundred million, three hundred twenty-eight thousand, one hundred four".