86673046346896 has 45 divisors (see below), whose sum is σ = 170266277574489. Its totient is φ = 42741531554688.

The previous prime is 86673046346819. The next prime is 86673046346899. The reversal of 86673046346896 is 69864364037668.

The square root of 86673046346896 is 9309836.

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., 49199843347600 + 37473202999296 = 7014260^2 + 6121536^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86673046346899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2718456171 + ... + 2718488053.

Almost surely, 2^{86673046346896} is an apocalyptic number.

86673046346896 is the 9309836-th square number.

It is an amenable number.

86673046346896 is a deficient number, since it is larger than the sum of its proper divisors (83593231227593).

86673046346896 is an frugal number, since it uses more digits than its factorization.

86673046346896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63920 (or 31958 counting only the distinct ones).

The product of its (nonzero) digits is 4514807808, while the sum is 76.

The spelling of 86673046346896 in words is "eighty-six trillion, six hundred seventy-three billion, forty-six million, three hundred forty-six thousand, eight hundred ninety-six".