1606016340369 has 135 divisors (see below), whose sum is σ = 2793381820593. Its totient is φ = 889088006016.

The previous prime is 1606016340359. The next prime is 1606016340391. The reversal of 1606016340369 is 9630436106061.

The square root of 1606016340369 is 1267287.

It is a perfect power (a square), and thus also a powerful number.

1606016340369 is a `hidden beast` number, since 1 + 6 + 0 + 6 + 0 + 1 + 634 + 0 + 3 + 6 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30037395969 + 1575978944400 = 173313^2 + 1255380^2 .

It is not a de Polignac number, because 1606016340369 - 2²⁹ = 1605479469457 is a prime.

It is a super-2 number, since 2×1606016340369² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1606016340319) 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 134 ways as a sum of consecutive naturals, for example, 6892773877 + ... + 6892774109.

Almost surely, 2^{1606016340369} is an apocalyptic number.

1606016340369 is the 1267287-th square number.

1606016340369 is the 633644-th centered octagonal number.

It is an amenable number.

1606016340369 is a deficient number, since it is larger than the sum of its proper divisors (1187365480224).

1606016340369 is an frugal number, since it uses more digits than its factorization.

1606016340369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 1606016340369 in words is "one trillion, six hundred six billion, sixteen million, three hundred forty thousand, three hundred sixty-nine".