323198838144 has 288 divisors, whose sum is σ = 1165105599840. Its totient is φ = 85239060480.

The previous prime is 323198838143. The next prime is 323198838161. The reversal of 323198838144 is 441838891323.

It is a happy number.

323198838144 is a `hidden beast` number, since 32 + 3 + 198 + 8 + 381 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323198838143) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 513609 + ... + 954039.

It is an arithmetic number, because the mean of its divisors is an integer number (4045505555).

Almost surely, 2^323198838144 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 323198838144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582552799920).

323198838144 is an abundant number, since it is smaller than the sum of its proper divisors (841906761696).

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

323198838144 is a wasteful number, since it uses less digits than its factorization.

323198838144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440478 (or 440456 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 323198838144 in words is "three hundred twenty-three billion, one hundred ninety-eight million, eight hundred thirty-eight thousand, one hundred forty-four".