321148944 has 120 divisors (see below), whose sum is σ = 955787040. Its totient is φ = 100376064.

The previous prime is 321148943. The next prime is 321148967. The reversal of 321148944 is 449841123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 321148899 and 321148908.

It is not an unprimeable number, because it can be changed into a prime (321148943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292204 + ... + 293300.

It is an arithmetic number, because the mean of its divisors is an integer number (7964892).

Almost surely, 2^321148944 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 321148944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477893520).

321148944 is an abundant number, since it is smaller than the sum of its proper divisors (634638096).

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

321148944 is a wasteful number, since it uses less digits than its factorization.

321148944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1228 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 321148944 is about 17920.6290068178. The cubic root of 321148944 is about 684.8080119779.

The spelling of 321148944 in words is "three hundred twenty-one million, one hundred forty-eight thousand, nine hundred forty-four".