22133712803904 has 567 divisors, whose sum is σ = 73058991920967. Its totient is φ = 6402536644608.

The previous prime is 22133712803869. The next prime is 22133712803911. The reversal of 22133712803904 is 40930821733122.

The square root of 22133712803904 is 4704648.

It is a perfect power (a square), and thus also a powerful number.

22133712803904 is a `hidden beast` number, since 2 + 2 + 1 + 337 + 1 + 280 + 39 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 199851914304 + 21933860889600 = 447048^2 + 4683360^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22133712803904.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 24953452549 + ... + 24953453435.

Almost surely, 2^{22133712803904} is an apocalyptic number.

22133712803904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

22133712803904 is the 4704648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22133712803904

22133712803904 is an abundant number, since it is smaller than the sum of its proper divisors (50925279117063).

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

22133712803904 is an equidigital number, since it uses as much as digits as its factorization.

22133712803904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 22133712803904 in words is "twenty-two trillion, one hundred thirty-three billion, seven hundred twelve million, eight hundred three thousand, nine hundred four".