1608849889920 has 1536 divisors, whose sum is σ = 7185604608000. Its totient is φ = 334919909376.

The previous prime is 1608849889873. The next prime is 1608849889949. The reversal of 1608849889920 is 299889488061.

It is a happy number.

1608849889920 is a `hidden beast` number, since 1 + 608 + 8 + 4 + 9 + 8 + 8 + 9 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×1608849889920² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1118032561 + ... + 1118033999.

It is an arithmetic number, because the mean of its divisors is an integer number (4678128000).

Almost surely, 2^{1608849889920} is an apocalyptic number.

1608849889920 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 1608849889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592802304000).

1608849889920 is an abundant number, since it is smaller than the sum of its proper divisors (5576754718080).

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

1608849889920 is a wasteful number, since it uses less digits than its factorization.

1608849889920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 72.

The spelling of 1608849889920 in words is "one trillion, six hundred eight billion, eight hundred forty-nine million, eight hundred eighty-nine thousand, nine hundred twenty".