426057758361 has 9 divisors (see below), whose sum is σ = 615419590591. Its totient is φ = 284037200112.

The previous prime is 426057758359. The next prime is 426057758381. The reversal of 426057758361 is 163857750624.

The square root of 426057758361 is 652731.

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

426057758361 is a `hidden beast` number, since 4 + 2 + 6 + 0 + 57 + 7 + 583 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 148691216025 + 277366542336 = 385605^2 + 526656^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 426057758361 - 2¹ = 426057758359 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 426057758298 and 426057758307.

It is not an unprimeable number, because it can be changed into a prime (426057758351) 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 8 ways as a sum of consecutive naturals, for example, 1849405 + ... + 2066981.

Almost surely, 2^426057758361 is an apocalyptic number.

426057758361 is the 652731-st square number.

426057758361 is the 326366-th centered octagonal number.

It is an amenable number.

426057758361 is a deficient number, since it is larger than the sum of its proper divisors (189361832230).

426057758361 is an frugal number, since it uses more digits than its factorization.

426057758361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435160 (or 217580 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 426057758361 in words is "four hundred twenty-six billion, fifty-seven million, seven hundred fifty-eight thousand, three hundred sixty-one".