305994836224 has 243 divisors, whose sum is σ = 782723550441. Its totient is φ = 118953246720.

The previous prime is 305994836221. The next prime is 305994836237. The reversal of 305994836224 is 422638499503.

The square root of 305994836224 is 553168.

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., 186997434624 + 118997401600 = 432432^2 + 344960^2 .

It is not an unprimeable number, because it can be changed into a prime (305994836221) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 681502752 + ... + 681503200.

Almost surely, 2^305994836224 is an apocalyptic number.

305994836224 is the 553168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305994836224

305994836224 is an abundant number, since it is smaller than the sum of its proper divisors (476728714217).

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

305994836224 is an frugal number, since it uses more digits than its factorization.

305994836224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 55.

The spelling of 305994836224 in words is "three hundred five billion, nine hundred ninety-four million, eight hundred thirty-six thousand, two hundred twenty-four".