705542245506 has 256 divisors, whose sum is σ = 1868744908800. Its totient is φ = 193118328576.

The previous prime is 705542245501. The next prime is 705542245511. The reversal of 705542245506 is 605542245507.

705542245506 is a `hidden beast` number, since 7 + 0 + 55 + 42 + 2 + 4 + 550 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (705542245501) and next prime (705542245511).

It is not an unprimeable number, because it can be changed into a prime (705542245501) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 416739996 + ... + 416741688.

It is an arithmetic number, because the mean of its divisors is an integer number (7299784800).

Almost surely, 2^705542245506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705542245506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934372454400).

705542245506 is an abundant number, since it is smaller than the sum of its proper divisors (1163202663294).

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

705542245506 is a wasteful number, since it uses less digits than its factorization.

705542245506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 45.

Subtracting from 705542245506 its reverse (605542245507), we obtain a palindrome (99999999999).

The spelling of 705542245506 in words is "seven hundred five billion, five hundred forty-two million, two hundred forty-five thousand, five hundred six".