1606256016336 has 160 divisors (see below), whose sum is σ = 4649866833920. Its totient is φ = 530858313216.

The previous prime is 1606256016307. The next prime is 1606256016341. The reversal of 1606256016336 is 6336106526061.

1606256016336 is a `hidden beast` number, since 1 + 6 + 0 + 6 + 2 + 5 + 6 + 0 + 1 + 633 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1606256016291 and 1606256016300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92876106 + ... + 92893398.

It is an arithmetic number, because the mean of its divisors is an integer number (29061667712).

Almost surely, 2^{1606256016336} is an apocalyptic number.

1606256016336 is a gapful number since it is divisible by the number (16) 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 1606256016336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324933416960).

1606256016336 is an abundant number, since it is smaller than the sum of its proper divisors (3043610817584).

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

1606256016336 is a wasteful number, since it uses less digits than its factorization.

1606256016336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19130 (or 19118 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 1606256016336 in words is "one trillion, six hundred six billion, two hundred fifty-six million, sixteen thousand, three hundred thirty-six".