36172616481 has 9 divisors (see below), whose sum is σ = 52250159091. Its totient is φ = 24114697272.

The previous prime is 36172616479. The next prime is 36172616483. The reversal of 36172616481 is 18461627163.

The square root of 36172616481 is 190191.

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

36172616481 is a `hidden beast` number, since 3 + 617 + 26 + 1 + 6 + 4 + 8 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (36172616479) and next prime (36172616483).

It can be written as a sum of positive squares in only one way, i.e., 13517550225 + 22655066256 = 116265^2 + 150516^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 36172616481 - 2¹ = 36172616479 is a prime.

It is a super-2 number, since 2×36172616481² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36172616483) 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, 538875 + ... + 602271.

Almost surely, 2^36172616481 is an apocalyptic number.

36172616481 is the 190191-st square number.

36172616481 is the 95096-th centered octagonal number.

It is an amenable number.

36172616481 is a deficient number, since it is larger than the sum of its proper divisors (16077542610).

36172616481 is an frugal number, since it uses more digits than its factorization.

36172616481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126800 (or 63400 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

It can be divided in two parts, 36172 and 616481, that added together give a triangular number (652653 = T₁₁₄₂).

The spelling of 36172616481 in words is "thirty-six billion, one hundred seventy-two million, six hundred sixteen thousand, four hundred eighty-one".