1608446551680 has 384 divisors, whose sum is σ = 6017663171520. Its totient is φ = 394299408384.

The previous prime is 1608446551631. The next prime is 1608446551681. The reversal of 1608446551680 is 861556448061.

It is a happy number.

1608446551680 is a `hidden beast` number, since 1 + 6 + 0 + 8 + 4 + 4 + 6 + 551 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1608446551680² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1608446551681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4019559 + ... + 4401561.

Almost surely, 2^{1608446551680} is an apocalyptic number.

1608446551680 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 1608446551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008831585760).

1608446551680 is an abundant number, since it is smaller than the sum of its proper divisors (4409216619840).

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

1608446551680 is a wasteful number, since it uses less digits than its factorization.

1608446551680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382088 (or 382073 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 1608446551680 in words is "one trillion, six hundred eight billion, four hundred forty-six million, five hundred fifty-one thousand, six hundred eighty".