306208561401856 has 117 divisors (see below), whose sum is σ = 620370896221713. Its totient is φ = 151122574786560.

The previous prime is 306208561401851. The next prime is 306208561401859. The reversal of 306208561401856 is 658104165802603.

The square root of 306208561401856 is 17498816.

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., 60546824441856 + 245661736960000 = 7781184^2 + 15673600^2 .

It is a super-2 number, since 2×306208561401856² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 306208561401797 and 306208561401806.

It is not an unprimeable number, because it can be changed into a prime (306208561401851) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 88474011966 + ... + 88474015426.

Almost surely, 2^{306208561401856} is an apocalyptic number.

306208561401856 is the 17498816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306208561401856

306208561401856 is an abundant number, since it is smaller than the sum of its proper divisors (314162334819857).

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

306208561401856 is an frugal number, since it uses more digits than its factorization.

306208561401856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7104 (or 3542 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 55.

The spelling of 306208561401856 in words is "three hundred six trillion, two hundred eight billion, five hundred sixty-one million, four hundred one thousand, eight hundred fifty-six".