36655782849 has 63 divisors (see below), whose sum is σ = 63994528083. Its totient is φ = 20925484272.

The previous prime is 36655782809. The next prime is 36655782899. The reversal of 36655782849 is 94828755663.

It is a happy number.

The square root of 36655782849 is 191457.

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

36655782849 is a `hidden beast` number, since 36 + 6 + 5 + 578 + 28 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72335025 + 36583447824 = 8505^2 + 191268^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 36655782849 - 2²¹ = 36653685697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (36655782809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 36184867 + ... + 36185879.

Almost surely, 2^36655782849 is an apocalyptic number.

36655782849 is the 191457-th square number.

36655782849 is the 95729-th centered octagonal number.

It is an amenable number.

36655782849 is a deficient number, since it is larger than the sum of its proper divisors (27338745234).

36655782849 is an frugal number, since it uses more digits than its factorization.

36655782849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 1023 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 36655782849 in words is "thirty-six billion, six hundred fifty-five million, seven hundred eighty-two thousand, eight hundred forty-nine".