328689918144 has 336 divisors, whose sum is σ = 1175374636800. Its totient is φ = 88968139776.

The previous prime is 328689918143. The next prime is 328689918181. The reversal of 328689918144 is 441819986823.

328689918144 is a `hidden beast` number, since 328 + 6 + 8 + 99 + 181 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is not an unprimeable number, because it can be changed into a prime (328689918143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1988962 + ... + 2147870.

It is an arithmetic number, because the mean of its divisors is an integer number (3498138800).

Almost surely, 2^328689918144 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 328689918144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587687318400).

328689918144 is an abundant number, since it is smaller than the sum of its proper divisors (846684718656).

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

328689918144 is a wasteful number, since it uses less digits than its factorization.

328689918144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158962 (or 158940 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The spelling of 328689918144 in words is "three hundred twenty-eight billion, six hundred eighty-nine million, nine hundred eighteen thousand, one hundred forty-four".