1608332326272 has 256 divisors, whose sum is σ = 5444970854400. Its totient is φ = 457825996800.

The previous prime is 1608332326253. The next prime is 1608332326303. The reversal of 1608332326272 is 2726232338061.

1608332326272 is a `hidden beast` number, since 1 + 60 + 8 + 3 + 323 + 262 + 7 + 2 = 666.

It is a super-2 number, since 2×1608332326272² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 6433372 + ... + 6678692.

It is an arithmetic number, because the mean of its divisors is an integer number (21269417400).

Almost surely, 2^{1608332326272} is an apocalyptic number.

1608332326272 is a gapful number since it is divisible by the number (12) 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 1608332326272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722485427200).

1608332326272 is an abundant number, since it is smaller than the sum of its proper divisors (3836638528128).

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

1608332326272 is a wasteful number, since it uses less digits than its factorization.

1608332326272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245622 (or 245604 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 1608332326272 in words is "one trillion, six hundred eight billion, three hundred thirty-two million, three hundred twenty-six thousand, two hundred seventy-two".