328142143733760 has 540 divisors, whose sum is σ = 1181217586407768. Its totient is φ = 87504428335104.

The previous prime is 328142143733717. The next prime is 328142143733851. The reversal of 328142143733760 is 67337341241823.

328142143733760 is a `hidden beast` number, since 3 + 2 + 8 + 1 + 4 + 214 + 37 + 337 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a junction number, because it is equal to n+sod(n) for n = 328142143733697 and 328142143733706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 537171859 + ... + 537782381.

Almost surely, 2^{328142143733760} is an apocalyptic number.

328142143733760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328142143733760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590608793203884).

328142143733760 is an abundant number, since it is smaller than the sum of its proper divisors (853075442674008).

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

328142143733760 is an frugal number, since it uses more digits than its factorization.

328142143733760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610580 (or 610533 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 328142143733760 in words is "three hundred twenty-eight trillion, one hundred forty-two billion, one hundred forty-three million, seven hundred thirty-three thousand, seven hundred sixty".