21924466442912 has 96 divisors (see below), whose sum is σ = 47576522133504. Its totient is φ = 9862356499200.

The previous prime is 21924466442869. The next prime is 21924466442917.

21924466442912 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (21924466442917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54582713 + ... + 54982919.

It is an arithmetic number, because the mean of its divisors is an integer number (495588772224).

Almost surely, 2^{21924466442912} is an apocalyptic number.

21924466442912 is a gapful number since it is divisible by the number (22) 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 21924466442912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23788261066752).

21924466442912 is an abundant number, since it is smaller than the sum of its proper divisors (25652055690592).

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

21924466442912 is a wasteful number, since it uses less digits than its factorization.

21924466442912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401842 (or 401834 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 56.

The spelling of 21924466442912 in words is "twenty-one trillion, nine hundred twenty-four billion, four hundred sixty-six million, four hundred forty-two thousand, nine hundred twelve".