48915726561 has 81 divisors (see below), whose sum is σ = 78715616889. Its totient is φ = 29258004672.

The previous prime is 48915726511. The next prime is 48915726589. The reversal of 48915726561 is 16562751984.

It is a happy number.

The square root of 48915726561 is 221169.

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

48915726561 is a `hidden beast` number, since 4 + 8 + 9 + 1 + 5 + 72 + 6 + 561 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1269568161 + 47646158400 = 35631^2 + 218280^2 .

It is not a de Polignac number, because 48915726561 - 2¹⁷ = 48915595489 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 48915726498 and 48915726507.

It is not an unprimeable number, because it can be changed into a prime (48915726511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 457156270 + ... + 457156376.

Almost surely, 2^48915726561 is an apocalyptic number.

48915726561 is the 221169-th square number.

48915726561 is the 110585-th centered octagonal number.

It is an amenable number.

48915726561 is a deficient number, since it is larger than the sum of its proper divisors (29799890328).

48915726561 is a wasteful number, since it uses less digits than its factorization.

48915726561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 176 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 48915726561 in words is "forty-eight billion, nine hundred fifteen million, seven hundred twenty-six thousand, five hundred sixty-one".