363061682116 has 81 divisors (see below), whose sum is σ = 746285681421. Its totient is φ = 154097524224.

The previous prime is 363061682111. The next prime is 363061682143. The reversal of 363061682116 is 611286160363.

The square root of 363061682116 is 602546.

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

It can be written as a sum of positive squares in only one way, i.e., 87965628100 + 275096054016 = 296590^2 + 524496^2 .

It is not an unprimeable number, because it can be changed into a prime (363061682111) 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, 1628079181 + ... + 1628079403.

Almost surely, 2^363061682116 is an apocalyptic number.

363061682116 is the 602546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363061682116

363061682116 is an abundant number, since it is smaller than the sum of its proper divisors (383223999305).

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

363061682116 is an equidigital number, since it uses as much as digits as its factorization.

363061682116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 363061682116 in words is "three hundred sixty-three billion, sixty-one million, six hundred eighty-two thousand, one hundred sixteen".