36166102344261 has 12 divisors (see below), whose sum is σ = 52590529137900. Its totient is φ = 23948917882560.

The previous prime is 36166102344259. The next prime is 36166102344299. The reversal of 36166102344261 is 16244320166163.

36166102344261 is a `hidden beast` number, since 3 + 6 + 1 + 6 + 610 + 2 + 3 + 4 + 4 + 26 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7790345272161 + 28375757072100 = 2791119^2 + 5326890^2 .

It is not a de Polignac number, because 36166102344261 - 2¹ = 36166102344259 is a prime.

It is a super-2 number, since 2×36166102344261² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36166102344461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13484749720 + ... + 13484752401.

It is an arithmetic number, because the mean of its divisors is an integer number (4382544094825).

Almost surely, 2^{36166102344261} is an apocalyptic number.

It is an amenable number.

36166102344261 is a deficient number, since it is larger than the sum of its proper divisors (16424426793639).

36166102344261 is a wasteful number, since it uses less digits than its factorization.

36166102344261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26969502276 (or 26969502273 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 36166102344261 in words is "thirty-six trillion, one hundred sixty-six billion, one hundred two million, three hundred forty-four thousand, two hundred sixty-one".