22514480072448 has 864 divisors, whose sum is σ = 79834972573440. Its totient is φ = 5567148195840.

The previous prime is 22514480072437. The next prime is 22514480072477. The reversal of 22514480072448 is 84427008441522.

It is a self number, because there is not a number n which added to its sum of digits gives 22514480072448.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 901612603 + ... + 901637573.

Almost surely, 2^{22514480072448} is an apocalyptic number.

22514480072448 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 22514480072448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39917486286720).

22514480072448 is an abundant number, since it is smaller than the sum of its proper divisors (57320492500992).

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

22514480072448 is a wasteful number, since it uses less digits than its factorization.

22514480072448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25133 (or 25112 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 51.

The spelling of 22514480072448 in words is "twenty-two trillion, five hundred fourteen billion, four hundred eighty million, seventy-two thousand, four hundred forty-eight".