1608752316416 has 240 divisors, whose sum is σ = 3781175489280. Its totient is φ = 670071521280.

The previous prime is 1608752316377. The next prime is 1608752316443. The reversal of 1608752316416 is 6146132578061.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1688092196 + ... + 1688093148.

It is an arithmetic number, because the mean of its divisors is an integer number (15754897872).

Almost surely, 2^{1608752316416} is an apocalyptic number.

1608752316416 is a gapful number since it is divisible by the number (16) 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 1608752316416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890587744640).

1608752316416 is an abundant number, since it is smaller than the sum of its proper divisors (2172423172864).

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

1608752316416 is an frugal number, since it uses more digits than its factorization.

1608752316416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 1608752316416 in words is "one trillion, six hundred eight billion, seven hundred fifty-two million, three hundred sixteen thousand, four hundred sixteen".