36145093902241 has 9 divisors (see below), whose sum is σ = 36174595179699. Its totient is φ = 36115616678904.

The previous prime is 36145093902167. The next prime is 36145093902259. The reversal of 36145093902241 is 14220939054163.

The square root of 36145093902241 is 6012079.

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., 34040865147025 + 2104228755216 = 5834455^2 + 1450596^2 .

It is a de Polignac number, because none of the positive numbers 2^k-36145093902241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36145093903241) 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, 14651435290 + ... + 14651437756.

It is an arithmetic number, because the mean of its divisors is an integer number (4019399464411).

Almost surely, 2^{36145093902241} is an apocalyptic number.

36145093902241 is the 6012079-th square number.

36145093902241 is the 3006040-th centered octagonal number.

It is an amenable number.

36145093902241 is a deficient number, since it is larger than the sum of its proper divisors (29501277458).

36145093902241 is an frugal number, since it uses more digits than its factorization.

36145093902241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9808 (or 4904 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 49.

The spelling of 36145093902241 in words is "thirty-six trillion, one hundred forty-five billion, ninety-three million, nine hundred two thousand, two hundred forty-one".