705251960448 has 384 divisors, whose sum is σ = 2253073838400. Its totient is φ = 194759147520.

The previous prime is 705251960447. The next prime is 705251960477. The reversal of 705251960448 is 844069152507.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 705251960448.

It is not an unprimeable number, because it can be changed into a prime (705251960443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84084511 + ... + 84092897.

Almost surely, 2^705251960448 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 705251960448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126536919200).

705251960448 is an abundant number, since it is smaller than the sum of its proper divisors (1547821877952).

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

705251960448 is a wasteful number, since it uses less digits than its factorization.

705251960448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8568 (or 8549 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 705251960448 in words is "seven hundred five billion, two hundred fifty-one million, nine hundred sixty thousand, four hundred forty-eight".