48773895436561 has 9 divisors (see below), whose sum is σ = 49087639442811. Its totient is φ = 48462144204552.

The previous prime is 48773895436517. The next prime is 48773895436571. The reversal of 48773895436561 is 16563459837784.

The square root of 48773895436561 is 6983831.

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

It can be written as a sum of positive squares in only one way, i.e., 14296376913025 + 34477518523536 = 3781055^2 + 5871756^2 .

It is not a de Polignac number, because 48773895436561 - 2²³ = 48773887047953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48773895436571) 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, 1096439226 + ... + 1096483708.

Almost surely, 2^{48773895436561} is an apocalyptic number.

48773895436561 is the 6983831-st square number.

48773895436561 is the 3491916-th centered octagonal number.

It is an amenable number.

48773895436561 is a deficient number, since it is larger than the sum of its proper divisors (313744006250).

48773895436561 is an frugal number, since it uses more digits than its factorization.

48773895436561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89280 (or 44640 counting only the distinct ones).

The product of its digits is 3657830400, while the sum is 76.

The spelling of 48773895436561 in words is "forty-eight trillion, seven hundred seventy-three billion, eight hundred ninety-five million, four hundred thirty-six thousand, five hundred sixty-one".