36672541105205 has 8 divisors (see below), whose sum is σ = 44182376217504. Its totient is φ = 29221148290000.

The previous prime is 36672541105199. The next prime is 36672541105271. The reversal of 36672541105205 is 50250114527663.

36672541105205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 36672541105205 - 2¹⁰ = 36672541104181 is a prime.

It is a super-2 number, since 2×36672541105205² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 36672541105205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14610572891 + ... + 14610575400.

It is an arithmetic number, because the mean of its divisors is an integer number (5522797027188).

Almost surely, 2^{36672541105205} is an apocalyptic number.

It is an amenable number.

36672541105205 is a deficient number, since it is larger than the sum of its proper divisors (7509835112299).

36672541105205 is a wasteful number, since it uses less digits than its factorization.

36672541105205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29221148547.

The product of its (nonzero) digits is 1512000, while the sum is 47.

The spelling of 36672541105205 in words is "thirty-six trillion, six hundred seventy-two billion, five hundred forty-one million, one hundred five thousand, two hundred five".