22304332800000 has 2016 divisors, whose sum is σ = 87761185737120. Its totient is φ = 5595955200000.

The previous prime is 22304332799999. The next prime is 22304332800017. The reversal of 22304332800000 is 823340322.

22304332800000 is a `hidden beast` number, since 22 + 304 + 332 + 8 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 365644799970 + ... + 365644800030.

It is an arithmetic number, because the mean of its divisors is an integer number (43532334195).

Almost surely, 2^{22304332800000} is an apocalyptic number.

22304332800000 is a gapful number since it is divisible by the number (20) 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 22304332800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43880592868560).

22304332800000 is an abundant number, since it is smaller than the sum of its proper divisors (65456852937120).

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

22304332800000 is an frugal number, since it uses more digits than its factorization.

22304332800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 22304332800000 in words is "twenty-two trillion, three hundred four billion, three hundred thirty-two million, eight hundred thousand".