8009167174002 has 12 divisors (see below), whose sum is σ = 17353195543710. Its totient is φ = 2669722391328.

The previous prime is 8009167173983. The next prime is 8009167174033. The reversal of 8009167174002 is 2004717619008.

It is a happy number.

8009167174002 is a `hidden beast` number, since 80 + 0 + 9 + 167 + 1 + 7 + 400 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5738808327561 + 2270358846441 = 2395581^2 + 1506771^2 .

It is a super-4 number, since 4×8009167174002⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 222476865927 + ... + 222476865962.

Almost surely, 2^{8009167174002} is an apocalyptic number.

8009167174002 is an abundant number, since it is smaller than the sum of its proper divisors (9344028369708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8009167174002 is a wasteful number, since it uses less digits than its factorization.

8009167174002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444953731897 (or 444953731894 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 8009167174002 in words is "eight trillion, nine billion, one hundred sixty-seven million, one hundred seventy-four thousand, two".