1606335085152 has 144 divisors (see below), whose sum is σ = 5224267077120. Its totient is φ = 458629537536.

The previous prime is 1606335085133. The next prime is 1606335085189. The reversal of 1606335085152 is 2515805336061.

1606335085152 is a `hidden beast` number, since 1 + 6 + 0 + 633 + 5 + 0 + 8 + 5 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1606335085098 and 1606335085107.

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, 2588799 + ... + 3148737.

It is an arithmetic number, because the mean of its divisors is an integer number (36279632480).

Almost surely, 2^{1606335085152} is an apocalyptic number.

1606335085152 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 1606335085152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612133538560).

1606335085152 is an abundant number, since it is smaller than the sum of its proper divisors (3617931991968).

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

1606335085152 is a wasteful number, since it uses less digits than its factorization.

1606335085152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561385 (or 561374 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 1606335085152 in words is "one trillion, six hundred six billion, three hundred thirty-five million, eighty-five thousand, one hundred fifty-two".