328298654541312 has 2400 divisors, whose sum is σ = 1257500889292032. Its totient is φ = 83031257088000.

The previous prime is 328298654541293. The next prime is 328298654541317. The reversal of 328298654541312 is 213145456892823.

328298654541312 is a `hidden beast` number, since 3 + 2 + 8 + 2 + 9 + 8 + 6 + 54 + 541 + 31 + 2 = 666.

It is a super-2 number, since 2×328298654541312² (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 328298654541312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328298654541317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 475106590887 + ... + 475106591577.

Almost surely, 2^{328298654541312} is an apocalyptic number.

328298654541312 is a gapful number since it is divisible by the number (32) 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 328298654541312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628750444646016).

328298654541312 is an abundant number, since it is smaller than the sum of its proper divisors (929202234750720).

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

328298654541312 is a wasteful number, since it uses less digits than its factorization.

328298654541312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 878 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 328298654541312 in words is "three hundred twenty-eight trillion, two hundred ninety-eight billion, six hundred fifty-four million, five hundred forty-one thousand, three hundred twelve".