21924856958368 has 192 divisors, whose sum is σ = 53704174487040. Its totient is φ = 8579620933632.

The previous prime is 21924856958357. The next prime is 21924856958377. The reversal of 21924856958368 is 86385965842912.

It is a junction number, because it is equal to n+sod(n) for n = 21924856958294 and 21924856958303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99133413 + ... + 99354331.

It is an arithmetic number, because the mean of its divisors is an integer number (279709242120).

Almost surely, 2^{21924856958368} is an apocalyptic number.

21924856958368 is a gapful number since it is divisible by the number (28) 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 21924856958368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26852087243520).

21924856958368 is an abundant number, since it is smaller than the sum of its proper divisors (31779317528672).

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

21924856958368 is a wasteful number, since it uses less digits than its factorization.

21924856958368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221319 (or 221311 counting only the distinct ones).

The product of its digits is 1791590400, while the sum is 76.

The spelling of 21924856958368 in words is "twenty-one trillion, nine hundred twenty-four billion, eight hundred fifty-six million, nine hundred fifty-eight thousand, three hundred sixty-eight".