17942264260561 has 9 divisors (see below), whose sum is σ = 18085196590491. Its totient is φ = 17800452874512.

The previous prime is 17942264260457. The next prime is 17942264260567. The reversal of 17942264260561 is 16506246224971.

The square root of 17942264260561 is 4235831.

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., 1763013006225 + 16179251254336 = 1327785^2 + 4022344^2 .

It is not a de Polignac number, because 17942264260561 - 2¹³ = 17942264252369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17942264260567) 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, 537933861 + ... + 537967213.

Almost surely, 2^{17942264260561} is an apocalyptic number.

17942264260561 is the 4235831-st square number.

17942264260561 is the 2117916-th centered octagonal number.

It is an amenable number.

17942264260561 is a deficient number, since it is larger than the sum of its proper divisors (142932329930).

17942264260561 is an frugal number, since it uses more digits than its factorization.

17942264260561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66960 (or 33480 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 17942264260561 in words is "seventeen trillion, nine hundred forty-two billion, two hundred sixty-four million, two hundred sixty thousand, five hundred sixty-one".