1726808874561 has 15 divisors (see below), whose sum is σ = 2579571665011. Its totient is φ = 1151198031888.

The previous prime is 1726808874541. The next prime is 1726808874563. The reversal of 1726808874561 is 1654788086271.

It is a happy number.

The square root of 1726808874561 is 1314081.

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

1726808874561 is a `hidden beast` number, since 1 + 7 + 2 + 68 + 0 + 8 + 8 + 7 + 4 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 728088464961 + 998720409600 = 853281^2 + 999360^2 .

It is not a de Polignac number, because 1726808874561 - 2⁵ = 1726808874529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1726808874563) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11753725 + ... + 11899733.

Almost surely, 2^{1726808874561} is an apocalyptic number.

1726808874561 is the 1314081-st square number.

1726808874561 is the 657041-st centered octagonal number.

It is an amenable number.

1726808874561 is a deficient number, since it is larger than the sum of its proper divisors (852762790450).

1726808874561 is an frugal number, since it uses more digits than its factorization.

1726808874561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292030 (or 146012 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 1726808874561 in words is "one trillion, seven hundred twenty-six billion, eight hundred eight million, eight hundred seventy-four thousand, five hundred sixty-one".