36545204224 has 117 divisors (see below), whose sum is σ = 76430409393. Its totient is φ = 17471225856.

The previous prime is 36545204221. The next prime is 36545204273. The reversal of 36545204224 is 42240254563.

The square root of 36545204224 is 191168.

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., 19163418624 + 17381785600 = 138432^2 + 131840^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36545204221) 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, 354807757 + ... + 354807859.

Almost surely, 2^36545204224 is an apocalyptic number.

36545204224 is the 191168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36545204224

36545204224 is an abundant number, since it is smaller than the sum of its proper divisors (39885205169).

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

36545204224 is an frugal number, since it uses more digits than its factorization.

36545204224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 37.

Adding to 36545204224 its reverse (42240254563), we get a palindrome (78785458787).

The spelling of 36545204224 in words is "thirty-six billion, five hundred forty-five million, two hundred four thousand, two hundred twenty-four".