1822313904930 has 160 divisors (see below), whose sum is σ = 4951999419840. Its totient is φ = 480800188800.

The previous prime is 1822313904913. The next prime is 1822313904941. The reversal of 1822313904930 is 394093132281.

1822313904930 is a `hidden beast` number, since 1 + 8 + 2 + 23 + 139 + 0 + 493 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 129170937 + ... + 129185043.

It is an arithmetic number, because the mean of its divisors is an integer number (30949996374).

Almost surely, 2^{1822313904930} is an apocalyptic number.

1822313904930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1822313904930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475999709920).

1822313904930 is an abundant number, since it is smaller than the sum of its proper divisors (3129685514910).

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

1822313904930 is a wasteful number, since it uses less digits than its factorization.

1822313904930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15806 (or 15797 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 1822313904930 in words is "one trillion, eight hundred twenty-two billion, three hundred thirteen million, nine hundred four thousand, nine hundred thirty".