867211008001 has 8 divisors (see below), whose sum is σ = 933955349544. Its totient is φ = 800471781120.

The previous prime is 867211007983. The next prime is 867211008007. The reversal of 867211008001 is 100800112768.

It can be written as a sum of positive squares in 4 ways, for example, as 28156840000 + 839054168001 = 167800^2 + 915999^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 867211008001 - 2³⁵ = 832851269633 is a prime.

It is a super-2 number, since 2×867211008001² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (867211008007) 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 7 ways as a sum of consecutive naturals, for example, 922840 + ... + 1608121.

It is an arithmetic number, because the mean of its divisors is an integer number (116744418693).

Almost surely, 2^867211008001 is an apocalyptic number.

It is an amenable number.

867211008001 is a deficient number, since it is larger than the sum of its proper divisors (66744341543).

867211008001 is a wasteful number, since it uses less digits than its factorization.

867211008001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557331.

The product of its (nonzero) digits is 5376, while the sum is 34.

The spelling of 867211008001 in words is "eight hundred sixty-seven billion, two hundred eleven million, eight thousand, one".