22121832018384 has 800 divisors, whose sum is σ = 82967040245760. Its totient is φ = 5542732800000.

The previous prime is 22121832018337. The next prime is 22121832018401. The reversal of 22121832018384 is 48381023812122.

22121832018384 is a `hidden beast` number, since 2 + 21 + 218 + 3 + 20 + 18 + 384 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 122808384 + ... + 122988384.

Almost surely, 2^{22121832018384} is an apocalyptic number.

22121832018384 is a gapful number since it is divisible by the number (24) 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 22121832018384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41483520122880).

22121832018384 is an abundant number, since it is smaller than the sum of its proper divisors (60845208227376).

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

22121832018384 is a wasteful number, since it uses less digits than its factorization.

22121832018384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180101 (or 180086 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 22121832018384 in words is "twenty-two trillion, one hundred twenty-one billion, eight hundred thirty-two million, eighteen thousand, three hundred eighty-four".