10002167316065 has 16 divisors (see below), whose sum is σ = 12121616573136. Its totient is φ = 7922392320000.

The previous prime is 10002167316013. The next prime is 10002167316103. The reversal of 10002167316065 is 56061376120001.

It can be written as a sum of positive squares in 8 ways, for example, as 31704295249 + 9970463020816 = 178057^2 + 3157604^2 .

It is not a de Polignac number, because 10002167316065 - 2¹⁴ = 10002167299681 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54651149 + ... + 54833861.

It is an arithmetic number, because the mean of its divisors is an integer number (757601035821).

Almost surely, 2^{10002167316065} is an apocalyptic number.

It is an amenable number.

10002167316065 is a deficient number, since it is larger than the sum of its proper divisors (2119449257071).

10002167316065 is a wasteful number, since it uses less digits than its factorization.

10002167316065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291220.

The product of its (nonzero) digits is 45360, while the sum is 38.

The spelling of 10002167316065 in words is "ten trillion, two billion, one hundred sixty-seven million, three hundred sixteen thousand, sixty-five".