1608685892352 has 576 divisors, whose sum is σ = 5962124958720. Its totient is φ = 415648972800.

The previous prime is 1608685892327. The next prime is 1608685892377. The reversal of 1608685892352 is 2532985868061.

1608685892352 is a `hidden beast` number, since 16 + 0 + 8 + 6 + 8 + 589 + 2 + 35 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1608685892327) and next prime (1608685892377).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 1608685892352.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102711402 + ... + 102727062.

Almost surely, 2^{1608685892352} is an apocalyptic number.

1608685892352 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 1608685892352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981062479360).

1608685892352 is an abundant number, since it is smaller than the sum of its proper divisors (4353439066368).

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

1608685892352 is a wasteful number, since it uses less digits than its factorization.

1608685892352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15897 (or 15877 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 1608685892352 in words is "one trillion, six hundred eight billion, six hundred eighty-five million, eight hundred ninety-two thousand, three hundred fifty-two".