36876847262161 has 9 divisors (see below), whose sum is σ = 36932063134491. Its totient is φ = 36821713845312.

The previous prime is 36876847262149. The next prime is 36876847262243. The reversal of 36876847262161 is 16126274867863.

The square root of 36876847262161 is 6072631.

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

It can be written as a sum of positive squares in only one way, i.e., 24331479963025 + 12545367299136 = 4932695^2 + 3541944^2 .

It is a de Polignac number, because none of the positive numbers 2^k-36876847262161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36876847262261) 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, 4414798561 + ... + 4414806913.

It is an arithmetic number, because the mean of its divisors is an integer number (4103562570499).

Almost surely, 2^{36876847262161} is an apocalyptic number.

36876847262161 is the 6072631-st square number.

36876847262161 is the 3036316-th centered octagonal number.

It is an amenable number.

36876847262161 is a deficient number, since it is larger than the sum of its proper divisors (55215872330).

36876847262161 is an frugal number, since it uses more digits than its factorization.

36876847262161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18160 (or 9080 counting only the distinct ones).

The product of its digits is 195084288, while the sum is 67.

The spelling of 36876847262161 in words is "thirty-six trillion, eight hundred seventy-six billion, eight hundred forty-seven million, two hundred sixty-two thousand, one hundred sixty-one".