36611066011663 has 32 divisors (see below), whose sum is σ = 43357840243200. Its totient is φ = 30475913420160.

The previous prime is 36611066011657. The next prime is 36611066011691.

36611066011663 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 36611066011663 - 2³⁷ = 36473627058191 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36611066011613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12086956 + ... + 14809342.

It is an arithmetic number, because the mean of its divisors is an integer number (1354932507600).

Almost surely, 2^{36611066011663} is an apocalyptic number.

36611066011663 is a deficient number, since it is larger than the sum of its proper divisors (6746774231537).

36611066011663 is a wasteful number, since it uses less digits than its factorization.

36611066011663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723167.

The product of its (nonzero) digits is 419904, while the sum is 46.

It can be divided in two parts, 3661106 and 6011663, that added together give a palindrome (9672769).

The spelling of 36611066011663 in words is "thirty-six trillion, six hundred eleven billion, sixty-six million, eleven thousand, six hundred sixty-three".