416106273969 has 27 divisors (see below), whose sum is σ = 612747823233. Its totient is φ = 272103054912.

The previous prime is 416106273943. The next prime is 416106273983. The reversal of 416106273969 is 969372601614.

The square root of 416106273969 is 645063.

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

416106273969 is a `hidden beast` number, since 4 + 1 + 6 + 1 + 0 + 627 + 3 + 9 + 6 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23804478369 + 392301795600 = 154287^2 + 626340^2 .

It is not a de Polignac number, because 416106273969 - 2⁵ = 416106273937 is a prime.

It is a super-2 number, since 2×416106273969² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (416106273269) 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, 102562989 + ... + 102567045.

Almost surely, 2^416106273969 is an apocalyptic number.

416106273969 is the 645063-rd square number.

416106273969 is the 322532-nd centered octagonal number.

It is an amenable number.

416106273969 is a deficient number, since it is larger than the sum of its proper divisors (196641549264).

416106273969 is an frugal number, since it uses more digits than its factorization.

416106273969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8226 (or 4113 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 416106273969 in words is "four hundred sixteen billion, one hundred six million, two hundred seventy-three thousand, nine hundred sixty-nine".