1608708761856 has 324 divisors, whose sum is σ = 5631096149952. Its totient is φ = 432592699392.

The previous prime is 1608708761843. The next prime is 1608708761861. The reversal of 1608708761856 is 6581678078061.

1608708761856 is a `hidden beast` number, since 1 + 6 + 0 + 8 + 7 + 0 + 8 + 7 + 618 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1608708761793 and 1608708761802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4488421 + ... + 4833563.

Almost surely, 2^{1608708761856} is an apocalyptic number.

1608708761856 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 1608708761856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815548074976).

1608708761856 is an abundant number, since it is smaller than the sum of its proper divisors (4022387388096).

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

1608708761856 is a wasteful number, since it uses less digits than its factorization.

1608708761856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345206 (or 345172 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 1608708761856 in words is "one trillion, six hundred eight billion, seven hundred eight million, seven hundred sixty-one thousand, eight hundred fifty-six".