86674926943969 has 81 divisors (see below), whose sum is σ = 109877544820953. Its totient is φ = 68141588808384.

The previous prime is 86674926943951. The next prime is 86674926943973. The reversal of 86674926943969 is 96934962947668.

The square root of 86674926943969 is 9309937.

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

It can be written as a sum of positive squares in 4 ways, for example, as 33310616256225 + 53364310687744 = 5771535^2 + 7305088^2 .

It is not a de Polignac number, because 86674926943969 - 2⁷ = 86674926943841 is a prime.

It is a super-2 number, since 2×86674926943969² (a number of 29 digits) contains 22 as substring.

Its product of digits (45712429056) is a multiple of the sum of its prime divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 86674926943969.

It is not an unprimeable number, because it can be changed into a prime (86674926943919) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 222814722027 + ... + 222814722415.

Almost surely, 2^{86674926943969} is an apocalyptic number.

86674926943969 is the 9309937-th square number.

86674926943969 is the 4654969-th centered octagonal number.

It is an amenable number.

86674926943969 is a deficient number, since it is larger than the sum of its proper divisors (23202617876984).

86674926943969 is an frugal number, since it uses more digits than its factorization.

86674926943969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 672 counting only the distinct ones).

The product of its digits is 45712429056, while the sum is 88.

The spelling of 86674926943969 in words is "eighty-six trillion, six hundred seventy-four billion, nine hundred twenty-six million, nine hundred forty-three thousand, nine hundred sixty-nine".