54628640072161 has 27 divisors (see below), whose sum is σ = 57416698108497. Its totient is φ = 51971688005160.

The previous prime is 54628640072131. The next prime is 54628640072189. The reversal of 54628640072161 is 16127004682645.

The square root of 54628640072161 is 7391119.

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

It is not a de Polignac number, because 54628640072161 - 2⁷ = 54628640072033 is a prime.

It is a super-2 number, since 2×54628640072161² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54628640072099 and 54628640072108.

It is not an unprimeable number, because it can be changed into a prime (54628640072131) 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, 35869099746 + ... + 35869101268.

Almost surely, 2^{54628640072161} is an apocalyptic number.

54628640072161 is the 7391119-th square number.

54628640072161 is the 3695560-th centered octagonal number.

It is an amenable number.

54628640072161 is a deficient number, since it is larger than the sum of its proper divisors (2788058036336).

54628640072161 is an frugal number, since it uses more digits than its factorization.

54628640072161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3514 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 54628640072161 in words is "fifty-four trillion, six hundred twenty-eight billion, six hundred forty million, seventy-two thousand, one hundred sixty-one".