37686845161 has 9 divisors (see below), whose sum is σ = 43841380311. Its totient is φ = 32301845352.

The previous prime is 37686845159. The next prime is 37686845177. The reversal of 37686845161 is 16154868673.

The square root of 37686845161 is 194131.

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., 7773067225 + 29913777936 = 88165^2 + 172956^2 .

It is not a de Polignac number, because 37686845161 - 2¹ = 37686845159 is a prime.

It is a super-3 number, since 3×37686845161³ (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37686845101) 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, 1345051 + ... + 1372783.

It is an arithmetic number, because the mean of its divisors is an integer number (4871264479).

Almost surely, 2^37686845161 is an apocalyptic number.

37686845161 is the 194131-st square number.

37686845161 is the 97066-th centered octagonal number.

It is an amenable number.

37686845161 is a deficient number, since it is larger than the sum of its proper divisors (6154535150).

37686845161 is an frugal number, since it uses more digits than its factorization.

37686845161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55480 (or 27740 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 55.

The spelling of 37686845161 in words is "thirty-seven billion, six hundred eighty-six million, eight hundred forty-five thousand, one hundred sixty-one".