22338066744448 has 768 divisors, whose sum is σ = 64142131737600. Its totient is φ = 7625008742400.

The previous prime is 22338066744437. The next prime is 22338066744523. The reversal of 22338066744448 is 84444766083322.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 816406288 + ... + 816433648.

It is an arithmetic number, because the mean of its divisors is an integer number (83518400700).

Almost surely, 2^{22338066744448} is an apocalyptic number.

22338066744448 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 22338066744448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32071065868800).

22338066744448 is an abundant number, since it is smaller than the sum of its proper divisors (41804064993152).

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

22338066744448 is a wasteful number, since it uses less digits than its factorization.

22338066744448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27469 (or 27450 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 61.

The spelling of 22338066744448 in words is "twenty-two trillion, three hundred thirty-eight billion, sixty-six million, seven hundred forty-four thousand, four hundred forty-eight".