1608135108480 has 1536 divisors, whose sum is σ = 6478042521600. Its totient is φ = 365245562880.

The previous prime is 1608135108439. The next prime is 1608135108497. The reversal of 1608135108480 is 848015318061.

1608135108480 is a `hidden beast` number, since 1 + 60 + 8 + 1 + 3 + 5 + 108 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 2887136362 + ... + 2887136918.

It is an arithmetic number, because the mean of its divisors is an integer number (4217475600).

Almost surely, 2^{1608135108480} is an apocalyptic number.

1608135108480 is a gapful number since it is divisible by the number (10) 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 1608135108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239021260800).

1608135108480 is an abundant number, since it is smaller than the sum of its proper divisors (4869907413120).

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

1608135108480 is a wasteful number, since it uses less digits than its factorization.

1608135108480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 1608135108480 in words is "one trillion, six hundred eight billion, one hundred thirty-five million, one hundred eight thousand, four hundred eighty".