705623520196 has 81 divisors (see below), whose sum is σ = 1488407974599. Its totient is φ = 291841023936.

The previous prime is 705623520191. The next prime is 705623520211. The reversal of 705623520196 is 691025326507.

The square root of 705623520196 is 840014.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 84805593796 + 620817926400 = 291214^2 + 787920^2 .

It is not an unprimeable number, because it can be changed into a prime (705623520191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 341044650 + ... + 341046718.

Almost surely, 2^705623520196 is an apocalyptic number.

705623520196 is the 840014-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705623520196

705623520196 is an abundant number, since it is smaller than the sum of its proper divisors (782784454403).

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

705623520196 is an equidigital number, since it uses as much as digits as its factorization.

705623520196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 46.

The spelling of 705623520196 in words is "seven hundred five billion, six hundred twenty-three million, five hundred twenty thousand, one hundred ninety-six".