22329967196160 has 1152 divisors, whose sum is σ = 87730244259840. Its totient is φ = 5414042861568.

The previous prime is 22329967196083. The next prime is 22329967196171. The reversal of 22329967196160 is 6169176992322.

22329967196160 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 9 + 9 + 6 + 7 + 1 + 9 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2167321569 + ... + 2167331871.

It is an arithmetic number, because the mean of its divisors is an integer number (76154725920).

Almost surely, 2^{22329967196160} is an apocalyptic number.

22329967196160 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 22329967196160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43865122129920).

22329967196160 is an abundant number, since it is smaller than the sum of its proper divisors (65400277063680).

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

22329967196160 is a wasteful number, since it uses less digits than its factorization.

22329967196160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10425 (or 10393 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 22329967196160 in words is "twenty-two trillion, three hundred twenty-nine billion, nine hundred sixty-seven million, one hundred ninety-six thousand, one hundred sixty".