1608169308480 has 1120 divisors, whose sum is σ = 6902138453760. Its totient is φ = 347210219520.

The previous prime is 1608169308469. The next prime is 1608169308541. The reversal of 1608169308480 is 848039618061.

1608169308480 is a `hidden beast` number, since 1 + 60 + 8 + 16 + 93 + 0 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2113231300 + ... + 2113232060.

Almost surely, 2^{1608169308480} is an apocalyptic number.

1608169308480 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 1608169308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3451069226880).

1608169308480 is an abundant number, since it is smaller than the sum of its proper divisors (5293969145280).

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

1608169308480 is a wasteful number, since it uses less digits than its factorization.

1608169308480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 1608169308480 in words is "one trillion, six hundred eight billion, one hundred sixty-nine million, three hundred eight thousand, four hundred eighty".