48556661364121 has 9 divisors (see below), whose sum is σ = 49006988823261. Its totient is φ = 48110434834464.

The previous prime is 48556661364067. The next prime is 48556661364157. The reversal of 48556661364121 is 12146316665584.

The square root of 48556661364121 is 6968261.

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

48556661364121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3275336224521 + 45281325139600 = 1809789^2 + 6729140^2 .

It is not a de Polignac number, because 48556661364121 - 2²⁹ = 48556124493209 is a prime.

It is a super-2 number, since 2×48556661364121² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48556661364191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 759508485 + ... + 759572413.

Almost surely, 2^{48556661364121} is an apocalyptic number.

48556661364121 is the 6968261-st square number.

48556661364121 is the 3484131-st centered octagonal number.

It is an amenable number.

48556661364121 is a deficient number, since it is larger than the sum of its proper divisors (450327459140).

48556661364121 is an frugal number, since it uses more digits than its factorization.

48556661364121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128076 (or 64038 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 58.

The spelling of 48556661364121 in words is "forty-eight trillion, five hundred fifty-six billion, six hundred sixty-one million, three hundred sixty-four thousand, one hundred twenty-one".