867180446008032 has 192 divisors, whose sum is σ = 2461252850360640. Its totient is φ = 265758259544064.

The previous prime is 867180446008031. The next prime is 867180446008061. The reversal of 867180446008032 is 230800644081768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867180446008031) 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, 3121584594 + ... + 3121862382.

It is an arithmetic number, because the mean of its divisors is an integer number (12819025262295).

Almost surely, 2^{867180446008032} 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 867180446008032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230626425180320).

867180446008032 is an abundant number, since it is smaller than the sum of its proper divisors (1594072404352608).

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

867180446008032 is a wasteful number, since it uses less digits than its factorization.

867180446008032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287805 (or 287797 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 57.

The spelling of 867180446008032 in words is "eight hundred sixty-seven trillion, one hundred eighty billion, four hundred forty-six million, eight thousand, thirty-two".