416879655652161 has 135 divisors (see below), whose sum is σ = 674301171512397. Its totient is φ = 248069316418560.

The previous prime is 416879655652139. The next prime is 416879655652193. The reversal of 416879655652161 is 161256556978614.

The square root of 416879655652161 is 20417631.

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

416879655652161 is a `hidden beast` number, since 4 + 1 + 6 + 8 + 7 + 9 + 6 + 556 + 5 + 2 + 1 + 61 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 168263833439025 + 248615822213136 = 12971655^2 + 15767556^2 .

It is not a de Polignac number, because 416879655652161 - 2⁵ = 416879655652129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 416879655652161.

It is not an unprimeable number, because it can be changed into a prime (416879655652261) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3689200492441 + ... + 3689200492553.

Almost surely, 2^{416879655652161} is an apocalyptic number.

416879655652161 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

416879655652161 is the 20417631-st square number.

416879655652161 is the 10208816-th centered octagonal number.

It is an amenable number.

416879655652161 is a deficient number, since it is larger than the sum of its proper divisors (257421515860236).

416879655652161 is an frugal number, since it uses more digits than its factorization.

416879655652161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 170 counting only the distinct ones).

The product of its digits is 653184000, while the sum is 72.

The spelling of 416879655652161 in words is "four hundred sixteen trillion, eight hundred seventy-nine billion, six hundred fifty-five million, six hundred fifty-two thousand, one hundred sixty-one".