1608348792064 has 216 divisors, whose sum is σ = 3855792181248. Its totient is φ = 667114721280.

The previous prime is 1608348792053. The next prime is 1608348792077. The reversal of 1608348792064 is 4602978438061.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88639377 + ... + 88657519.

It is an arithmetic number, because the mean of its divisors is an integer number (17850889728).

Almost surely, 2^{1608348792064} is an apocalyptic number.

1608348792064 is a gapful number since it is divisible by the number (14) 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 1608348792064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927896090624).

1608348792064 is an abundant number, since it is smaller than the sum of its proper divisors (2247443389184).

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

1608348792064 is a wasteful number, since it uses less digits than its factorization.

1608348792064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18401 (or 18380 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 58.

The spelling of 1608348792064 in words is "one trillion, six hundred eight billion, three hundred forty-eight million, seven hundred ninety-two thousand, sixty-four".