221603992089984 has 2048 divisors, whose sum is σ = 824629363200000. Its totient is φ = 58378973184000.

The previous prime is 221603992089959. The next prime is 221603992090027. The reversal of 221603992089984 is 489980299306122.

221603992089984 is a `hidden beast` number, since 2 + 2 + 1 + 60 + 399 + 20 + 89 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 138762674274 + ... + 138762675870.

It is an arithmetic number, because the mean of its divisors is an integer number (402651056250).

Almost surely, 2^{221603992089984} is an apocalyptic number.

221603992089984 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 221603992089984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412314681600000).

221603992089984 is an abundant number, since it is smaller than the sum of its proper divisors (603025371110016).

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

221603992089984 is a wasteful number, since it uses less digits than its factorization.

221603992089984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 221603992089984 in words is "two hundred twenty-one trillion, six hundred three billion, nine hundred ninety-two million, eighty-nine thousand, nine hundred eighty-four".