867097002272 has 162 divisors, whose sum is σ = 1900207585899. Its totient is φ = 389377443840.

The previous prime is 867097002269. The next prime is 867097002311. The reversal of 867097002272 is 272200790768.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 110120440336 + 756976561936 = 331844^2 + 870044^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=658444.

It is a super-2 number, since 2×867097002272² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 867097002272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2059612622 + ... + 2059613042.

Almost surely, 2^867097002272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 867097002272

867097002272 is an abundant number, since it is smaller than the sum of its proper divisors (1033110583627).

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

867097002272 is an equidigital number, since it uses as much as digits as its factorization.

867097002272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 50.

Multiplying 867097002272 by its sum of digits (50), we get a square (43354850113600 = 6584440²).

The spelling of 867097002272 in words is "eight hundred sixty-seven billion, ninety-seven million, two thousand, two hundred seventy-two".