85167851621449 has 9 divisors (see below), whose sum is σ = 85972248532807. Its totient is φ = 84370912155184.

The previous prime is 85167851621423. The next prime is 85167851621453. The reversal of 85167851621449 is 94412615876158.

The square root of 85167851621449 is 9228643.

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., 83595235299849 + 1572616321600 = 9143043^2 + 1254040^2 .

It is not a de Polignac number, because 85167851621449 - 2¹¹ = 85167851619401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85167851621849) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 987421677 + ... + 987507925.

Almost surely, 2^{85167851621449} is an apocalyptic number.

85167851621449 is the 9228643-rd square number.

85167851621449 is the 4614322-nd centered octagonal number.

It is an amenable number.

85167851621449 is a deficient number, since it is larger than the sum of its proper divisors (804396911358).

85167851621449 is an frugal number, since it uses more digits than its factorization.

85167851621449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172712 (or 86356 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 67.

The spelling of 85167851621449 in words is "eighty-five trillion, one hundred sixty-seven billion, eight hundred fifty-one million, six hundred twenty-one thousand, four hundred forty-nine".