22200834204432 has 480 divisors, whose sum is σ = 71651164865280. Its totient is φ = 6359712952320.

The previous prime is 22200834204401. The next prime is 22200834204457. The reversal of 22200834204432 is 23440243800222.

22200834204432 is a `hidden beast` number, since 2 + 2 + 200 + 8 + 3 + 4 + 2 + 0 + 443 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2827047418 + ... + 2827055270.

It is an arithmetic number, because the mean of its divisors is an integer number (149273260136).

Almost surely, 2^{22200834204432} 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 22200834204432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35825582432640).

22200834204432 is an abundant number, since it is smaller than the sum of its proper divisors (49450330660848).

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

22200834204432 is a wasteful number, since it uses less digits than its factorization.

22200834204432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9263 (or 9254 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 22200834204432 in words is "twenty-two trillion, two hundred billion, eight hundred thirty-four million, two hundred four thousand, four hundred thirty-two".