1608311916552 has 128 divisors (see below), whose sum is σ = 4620791808000. Its totient is φ = 461353501440.

The previous prime is 1608311916551. The next prime is 1608311916553. The reversal of 1608311916552 is 2556191138061.

It is an interprime number because it is at equal distance from previous prime (1608311916551) and next prime (1608311916553).

It is not an unprimeable number, because it can be changed into a prime (1608311916551) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6290118 + ... + 6540810.

It is an arithmetic number, because the mean of its divisors is an integer number (36099936000).

Almost surely, 2^{1608311916552} is an apocalyptic number.

1608311916552 is a gapful number since it is divisible by the number (12) 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 1608311916552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310395904000).

1608311916552 is an abundant number, since it is smaller than the sum of its proper divisors (3012479891448).

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

1608311916552 is a wasteful number, since it uses less digits than its factorization.

1608311916552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252011 (or 252007 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 48.

The spelling of 1608311916552 in words is "one trillion, six hundred eight billion, three hundred eleven million, nine hundred sixteen thousand, five hundred fifty-two".