21770768448 has 336 divisors, whose sum is σ = 74709625536. Its totient is φ = 5973626880.

The previous prime is 21770768441. The next prime is 21770768449. The reversal of 21770768448 is 84486707712.

It is a junction number, because it is equal to n+sod(n) for n = 21770768394 and 21770768403.

It is not an unprimeable number, because it can be changed into a prime (21770768441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4363011 + ... + 4367997.

It is an arithmetic number, because the mean of its divisors is an integer number (222350076).

Almost surely, 2^21770768448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21770768448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37354812768).

21770768448 is an abundant number, since it is smaller than the sum of its proper divisors (52938857088).

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

21770768448 is a wasteful number, since it uses less digits than its factorization.

21770768448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5082 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 21770768448 in words is "twenty-one billion, seven hundred seventy million, seven hundred sixty-eight thousand, four hundred forty-eight".