427756548961 has 27 divisors (see below), whose sum is σ = 500988456633. Its totient is φ = 364164460800.

The previous prime is 427756548937. The next prime is 427756548971. The reversal of 427756548961 is 169845657724.

The square root of 427756548961 is 654031.

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

It can be written as a sum of positive squares in 4 ways, for example, as 55236750625 + 372519798336 = 235025^2 + 610344^2 .

It is not a de Polignac number, because 427756548961 - 2³⁵ = 393396810593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 427756548893 and 427756548902.

It is not an unprimeable number, because it can be changed into a prime (427756548911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1066724361 + ... + 1066724761.

Almost surely, 2^427756548961 is an apocalyptic number.

427756548961 is the 654031-st square number.

427756548961 is the 327016-th centered octagonal number.

It is an amenable number.

427756548961 is a deficient number, since it is larger than the sum of its proper divisors (73231907672).

427756548961 is an frugal number, since it uses more digits than its factorization.

427756548961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 641 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 64.

Multiplying 427756548961 by its sum of digits (64), we get a square (27376419133504 = 5232248²).

The spelling of 427756548961 in words is "four hundred twenty-seven billion, seven hundred fifty-six million, five hundred forty-eight thousand, nine hundred sixty-one".