867429438216 has 128 divisors (see below), whose sum is σ = 2405944719360. Its totient is φ = 258423552000.

The previous prime is 867429438199. The next prime is 867429438217. The reversal of 867429438216 is 612834924768.

867429438216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×867429438216² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 867429438216.

It is not an unprimeable number, because it can be changed into a prime (867429438217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3754645 + ... + 3978971.

It is an arithmetic number, because the mean of its divisors is an integer number (18796443120).

Almost surely, 2^867429438216 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 867429438216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202972359680).

867429438216 is an abundant number, since it is smaller than the sum of its proper divisors (1538515281144).

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

867429438216 is a wasteful number, since it uses less digits than its factorization.

867429438216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224595 (or 224591 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 60.

The spelling of 867429438216 in words is "eight hundred sixty-seven billion, four hundred twenty-nine million, four hundred thirty-eight thousand, two hundred sixteen".