328649456349648 has 320 divisors, whose sum is σ = 1141558292736000. Its totient is φ = 88373942286336.

The previous prime is 328649456349601. The next prime is 328649456349673. The reversal of 328649456349648 is 846943654946823.

328649456349648 is a `hidden beast` number, since 3 + 2 + 8 + 6 + 4 + 9 + 4 + 563 + 4 + 9 + 6 + 48 = 666.

It is a super-2 number, since 2×328649456349648² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2779005943 + ... + 2779124201.

It is an arithmetic number, because the mean of its divisors is an integer number (3567369664800).

Almost surely, 2^{328649456349648} 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 328649456349648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570779146368000).

328649456349648 is an abundant number, since it is smaller than the sum of its proper divisors (812908836386352).

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

328649456349648 is a wasteful number, since it uses less digits than its factorization.

328649456349648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172359 (or 172347 counting only the distinct ones).

The product of its digits is 25798901760, while the sum is 81.

The spelling of 328649456349648 in words is "three hundred twenty-eight trillion, six hundred forty-nine billion, four hundred fifty-six million, three hundred forty-nine thousand, six hundred forty-eight".