328253156690976 has 960 divisors, whose sum is σ = 1142625457290240. Its totient is φ = 91384360704000.

The previous prime is 328253156690933. The next prime is 328253156691059. The reversal of 328253156690976 is 679096651352823.

328253156690976 is a `hidden beast` number, since 3 + 2 + 8 + 2 + 53 + 1 + 566 + 9 + 0 + 9 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 159 ways as a sum of consecutive naturals, for example, 2346154015 + ... + 2346293921.

It is an arithmetic number, because the mean of its divisors is an integer number (1190234851344).

Almost surely, 2^{328253156690976} is an apocalyptic number.

328253156690976 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 328253156690976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571312728645120).

328253156690976 is an abundant number, since it is smaller than the sum of its proper divisors (814372300599264).

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

328253156690976 is a wasteful number, since it uses less digits than its factorization.

328253156690976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140091 (or 140074 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 328253156690976 in words is "three hundred twenty-eight trillion, two hundred fifty-three billion, one hundred fifty-six million, six hundred ninety thousand, nine hundred seventy-six".