6138655372161 has 243 divisors, whose sum is σ = 10587431531313. Its totient is φ = 3425077094400.

The previous prime is 6138655372153. The next prime is 6138655372193. The reversal of 6138655372161 is 1612735568316.

The square root of 6138655372161 is 2477631.

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

6138655372161 is a `hidden beast` number, since 6 + 1 + 3 + 8 + 6 + 553 + 7 + 21 + 61 = 666.

It can be written as a sum of positive squares in 40 ways, for example, as 2100340055025 + 4038315317136 = 1449255^2 + 2009556^2 .

It is not a de Polignac number, because 6138655372161 - 2³ = 6138655372153 is a prime.

It is a super-2 number, since 2×6138655372161² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6138655372098 and 6138655372107.

It is not an unprimeable number, because it can be changed into a prime (6138655372261) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 60778766011 + ... + 60778766111.

Almost surely, 2^{6138655372161} is an apocalyptic number.

6138655372161 is the 2477631-st square number.

6138655372161 is the 1238816-th centered octagonal number.

It is an amenable number.

6138655372161 is a deficient number, since it is larger than the sum of its proper divisors (4448776159152).

6138655372161 is a wasteful number, since it uses less digits than its factorization.

6138655372161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 171 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 6138655372161 in words is "six trillion, one hundred thirty-eight billion, six hundred fifty-five million, three hundred seventy-two thousand, one hundred sixty-one".