17940146407561 has 27 divisors (see below), whose sum is σ = 20991365284743. Its totient is φ = 15287736638160.

The previous prime is 17940146407559. The next prime is 17940146407591. The reversal of 17940146407561 is 16570464104971.

The square root of 17940146407561 is 4235581.

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., 197686055161 + 17742460352400 = 444619^2 + 4212180^2 .

It is not a de Polignac number, because 17940146407561 - 2¹ = 17940146407559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (17940146407591) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5366479456 + ... + 5366482798.

It is an arithmetic number, because the mean of its divisors is an integer number (777457973509).

Almost surely, 2^{17940146407561} is an apocalyptic number.

17940146407561 is the 4235581-st square number.

17940146407561 is the 2117791-st centered octagonal number.

It is an amenable number.

17940146407561 is a deficient number, since it is larger than the sum of its proper divisors (3051218877182).

17940146407561 is an frugal number, since it uses more digits than its factorization.

17940146407561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7062 (or 3531 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 17940146407561 in words is "seventeen trillion, nine hundred forty billion, one hundred forty-six million, four hundred seven thousand, five hundred sixty-one".