328825414273356 has 576 divisors, whose sum is σ = 1132903439216640. Its totient is φ = 77649155297280.

The previous prime is 328825414273309. The next prime is 328825414273457. The reversal of 328825414273356 is 653372414528823.

328825414273356 is a `hidden beast` number, since 3 + 2 + 8 + 8 + 2 + 5 + 4 + 1 + 4 + 273 + 356 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 328825414273293 and 328825414273302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1865027101 + ... + 1865203403.

It is an arithmetic number, because the mean of its divisors is an integer number (1966846248640).

Almost surely, 2^{328825414273356} is an apocalyptic number.

328825414273356 is a gapful number since it is divisible by the number (36) 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 328825414273356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566451719608320).

328825414273356 is an abundant number, since it is smaller than the sum of its proper divisors (804078024943284).

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

328825414273356 is a wasteful number, since it uses less digits than its factorization.

328825414273356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177126 (or 177121 counting only the distinct ones).

The product of its digits is 232243200, while the sum is 63.

The spelling of 328825414273356 in words is "three hundred twenty-eight trillion, eight hundred twenty-five billion, four hundred fourteen million, two hundred seventy-three thousand, three hundred fifty-six".