36606786241 has 9 divisors (see below), whose sum is σ = 36788488009. Its totient is φ = 36425980336.

The previous prime is 36606786199. The next prime is 36606786277. The reversal of 36606786241 is 14268760663.

The square root of 36606786241 is 191329.

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

36606786241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2588672641 + 34018113600 = 50879^2 + 184440^2 .

It is not a de Polignac number, because 36606786241 - 2¹⁵ = 36606753473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36606786941) 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, 56059071 + ... + 56059723.

Almost surely, 2^36606786241 is an apocalyptic number.

36606786241 is the 191329-th square number.

36606786241 is the 95665-th centered octagonal number.

It is an amenable number.

36606786241 is a deficient number, since it is larger than the sum of its proper divisors (181701768).

36606786241 is an frugal number, since it uses more digits than its factorization.

36606786241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

Multiplying 36606786241 by its sum of digits (49), we get a square (1793732525809 = 1339303²).

The spelling of 36606786241 in words is "thirty-six billion, six hundred six million, seven hundred eighty-six thousand, two hundred forty-one".