36800347536241 has 9 divisors (see below), whose sum is σ = 37219026554913. Its totient is φ = 36386326648320.

The previous prime is 36800347536181. The next prime is 36800347536247. The reversal of 36800347536241 is 14263574300863.

The square root of 36800347536241 is 6066329.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16607734641 + 36783739801600 = 128871^2 + 6064960^2 .

It is not a de Polignac number, because 36800347536241 - 2¹¹ = 36800347534193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36800347536247) 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, 539869201 + ... + 539937361.

Almost surely, 2^{36800347536241} is an apocalyptic number.

36800347536241 is the 6066329-th square number.

36800347536241 is the 3033165-th centered octagonal number.

It is an amenable number.

36800347536241 is a deficient number, since it is larger than the sum of its proper divisors (418679018672).

36800347536241 is an frugal number, since it uses more digits than its factorization.

36800347536241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136500 (or 68250 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 52.

The spelling of 36800347536241 in words is "thirty-six trillion, eight hundred billion, three hundred forty-seven million, five hundred thirty-six thousand, two hundred forty-one".