328578155136 has 384 divisors, whose sum is σ = 1188150312960. Its totient is φ = 84670064640.

The previous prime is 328578155057. The next prime is 328578155183. The reversal of 328578155136 is 631551875823.

328578155136 is a `hidden beast` number, since 3 + 2 + 8 + 5 + 7 + 81 + 551 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11250825 + ... + 11279991.

It is an arithmetic number, because the mean of its divisors is an integer number (3094141440).

Almost surely, 2^328578155136 is an apocalyptic number.

328578155136 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 328578155136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594075156480).

328578155136 is an abundant number, since it is smaller than the sum of its proper divisors (859572157824).

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

328578155136 is a wasteful number, since it uses less digits than its factorization.

328578155136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29332 (or 29317 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The spelling of 328578155136 in words is "three hundred twenty-eight billion, five hundred seventy-eight million, one hundred fifty-five thousand, one hundred thirty-six".