36418388605225 has 81 divisors (see below), whose sum is σ = 50132146090117. Its totient is φ = 26224674784000.

The previous prime is 36418388605213. The next prime is 36418388605237. The reversal of 36418388605225 is 52250688381463.

The square root of 36418388605225 is 6034765.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (36418388605213) and next prime (36418388605237).

It can be written as a sum of positive squares in 4 ways, for example, as 18528229540249 + 17890159064976 = 4304443^2 + 4229676^2 .

It is a de Polignac number, because none of the positive numbers 2^k-36418388605225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 37506063990 + ... + 37506064960.

Almost surely, 2^{36418388605225} is an apocalyptic number.

36418388605225 is the 6034765-th square number.

36418388605225 is the 3017383-rd centered octagonal number.

It is an amenable number.

36418388605225 is a deficient number, since it is larger than the sum of its proper divisors (13713757484892).

36418388605225 is an frugal number, since it uses more digits than its factorization.

36418388605225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 61.

The spelling of 36418388605225 in words is "thirty-six trillion, four hundred eighteen billion, three hundred eighty-eight million, six hundred five thousand, two hundred twenty-five".