872329327146 has 112 divisors (see below), whose sum is σ = 1991865012480. Its totient is φ = 286353144000.

The previous prime is 872329327141. The next prime is 872329327189. The reversal of 872329327146 is 641723923278.

It is a happy number.

872329327146 is a `hidden beast` number, since 8 + 7 + 2 + 329 + 3 + 271 + 46 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 872329327092 and 872329327101.

It is not an unprimeable number, because it can be changed into a prime (872329327141) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 32556871 + ... + 32583653.

It is an arithmetic number, because the mean of its divisors is an integer number (17784509040).

Almost surely, 2^872329327146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872329327146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995932506240).

872329327146 is an abundant number, since it is smaller than the sum of its proper divisors (1119535685334).

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

872329327146 is a wasteful number, since it uses less digits than its factorization.

872329327146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27143 (or 27128 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 872329327146 in words is "eight hundred seventy-two billion, three hundred twenty-nine million, three hundred twenty-seven thousand, one hundred forty-six".