1608270978496 has 448 divisors, whose sum is σ = 4254227712000. Its totient is φ = 598117588992.

The previous prime is 1608270978481. The next prime is 1608270978577. The reversal of 1608270978496 is 6948790728061.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 387253156 + ... + 387257308.

It is an arithmetic number, because the mean of its divisors is an integer number (9496044000).

Almost surely, 2^{1608270978496} is an apocalyptic number.

1608270978496 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 1608270978496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127113856000).

1608270978496 is an abundant number, since it is smaller than the sum of its proper divisors (2645956733504).

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

1608270978496 is a wasteful number, since it uses less digits than its factorization.

1608270978496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4281 (or 4257 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 67.

The spelling of 1608270978496 in words is "one trillion, six hundred eight billion, two hundred seventy million, nine hundred seventy-eight thousand, four hundred ninety-six".