10736232071161 has 27 divisors (see below), whose sum is σ = 11032383886797. Its totient is φ = 10447958408160.

The previous prime is 10736232071143. The next prime is 10736232071183. The reversal of 10736232071161 is 16117023263701.

The square root of 10736232071161 is 3276619.

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 5309941357561 + 5426290713600 = 2304331^2 + 2329440^2 .

It is not a de Polignac number, because 10736232071161 - 2²¹ = 10736229974009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10736232072161) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36642430131 + ... + 36642430423.

Almost surely, 2^{10736232071161} is an apocalyptic number.

10736232071161 is the 3276619-th square number.

10736232071161 is the 1638310-th centered octagonal number.

It is an amenable number.

10736232071161 is a deficient number, since it is larger than the sum of its proper divisors (296151815636).

10736232071161 is an frugal number, since it uses more digits than its factorization.

10736232071161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The spelling of 10736232071161 in words is "ten trillion, seven hundred thirty-six billion, two hundred thirty-two million, seventy-one thousand, one hundred sixty-one".