867044047104 has 243 divisors, whose sum is σ = 2640987114129. Its totient is φ = 273535211520.

The previous prime is 867044047069. The next prime is 867044047157. The reversal of 867044047104 is 401740440768.

It is a happy number.

The square root of 867044047104 is 931152.

It is a perfect power (a square), and thus also a powerful number.

867044047104 is a `hidden beast` number, since 8 + 67 + 0 + 440 + 47 + 104 = 666.

867044047104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 504736360704 + 362307686400 = 710448^2 + 601920^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 867044047104.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 849210114 + ... + 849211134.

Almost surely, 2^867044047104 is an apocalyptic number.

867044047104 is the 931152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 867044047104

867044047104 is an abundant number, since it is smaller than the sum of its proper divisors (1773943067025).

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

867044047104 is an equidigital number, since it uses as much as digits as its factorization.

867044047104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 867044047104 in words is "eight hundred sixty-seven billion, forty-four million, forty-seven thousand, one hundred four".