215103019264 has 243 divisors, whose sum is σ = 517064513763. Its totient is φ = 89048064000.

The previous prime is 215103019213. The next prime is 215103019283. The reversal of 215103019264 is 462910301512.

The square root of 215103019264 is 463792.

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 103876864 + 214999142400 = 10192^2 + 463680^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2129732814 + ... + 2129732914.

Almost surely, 2^215103019264 is an apocalyptic number.

215103019264 is the 463792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215103019264

215103019264 is an abundant number, since it is smaller than the sum of its proper divisors (301961494499).

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

215103019264 is an frugal number, since it uses more digits than its factorization.

215103019264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 215103019264 in words is "two hundred fifteen billion, one hundred three million, nineteen thousand, two hundred sixty-four".