328904744786496 has 336 divisors, whose sum is σ = 985798601424000. Its totient is φ = 104773528903680.

The previous prime is 328904744786461. The next prime is 328904744786539. The reversal of 328904744786496 is 694687447409823.

328904744786496 is a `hidden beast` number, since 3 + 2 + 8 + 9 + 0 + 4 + 7 + 4 + 47 + 86 + 496 = 666.

It is a super-2 number, since 2×328904744786496² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178987380 + ... + 180815628.

It is an arithmetic number, because the mean of its divisors is an integer number (2933924409000).

Almost surely, 2^{328904744786496} is an apocalyptic number.

328904744786496 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 328904744786496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492899300712000).

328904744786496 is an abundant number, since it is smaller than the sum of its proper divisors (656893856637504).

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

328904744786496 is a wasteful number, since it uses less digits than its factorization.

328904744786496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828474 (or 1828461 counting only the distinct ones).

The product of its (nonzero) digits is 14046068736, while the sum is 81.

The spelling of 328904744786496 in words is "three hundred twenty-eight trillion, nine hundred four billion, seven hundred forty-four million, seven hundred eighty-six thousand, four hundred ninety-six".