36101675690089 has 9 divisors (see below), whose sum is σ = 37103995977111. Its totient is φ = 35125738420680.

The previous prime is 36101675690033. The next prime is 36101675690147. The reversal of 36101675690089 is 98009657610163.

The square root of 36101675690089 is 6008467.

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., 32304275179225 + 3797400510864 = 5683685^2 + 1948692^2 .

It is not a de Polignac number, because 36101675690089 - 2²⁹ = 36101138819177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36101675690489) 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, 222232084 + ... + 222394474.

It is an arithmetic number, because the mean of its divisors is an integer number (4122666219679).

Almost surely, 2^{36101675690089} is an apocalyptic number.

36101675690089 is the 6008467-th square number.

36101675690089 is the 3004234-th centered octagonal number.

It is an amenable number.

36101675690089 is a deficient number, since it is larger than the sum of its proper divisors (1002320287022).

36101675690089 is an frugal number, since it uses more digits than its factorization.

36101675690089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324856 (or 162428 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 61.

The spelling of 36101675690089 in words is "thirty-six trillion, one hundred one billion, six hundred seventy-five million, six hundred ninety thousand, eighty-nine".