328094178048 has 1080 divisors, whose sum is σ = 1249317614160. Its totient is φ = 84861665280.

The previous prime is 328094178023. The next prime is 328094178073. The reversal of 328094178048 is 840871490823.

It is a happy number.

328094178048 is a `hidden beast` number, since 32 + 80 + 9 + 417 + 80 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (328094178023) and next prime (328094178073).

It is a super-3 number, since 3×328094178048³ (a number of 36 digits) contains 333 as substring.

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 = 328094177985 and 328094178003.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 779320878 + ... + 779321298.

Almost surely, 2^328094178048 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 328094178048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624658807080).

328094178048 is an abundant number, since it is smaller than the sum of its proper divisors (921223436112).

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

328094178048 is a wasteful number, since it uses less digits than its factorization.

328094178048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 328094178048 in words is "three hundred twenty-eight billion, ninety-four million, one hundred seventy-eight thousand, forty-eight".