1606769197056 has 135 divisors (see below), whose sum is σ = 4643042580813. Its totient is φ = 535427481600.

The previous prime is 1606769197013. The next prime is 1606769197073. The reversal of 1606769197056 is 6507919676061.

The square root of 1606769197056 is 1267584.

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

1606769197056 is a `hidden beast` number, since 1 + 606 + 7 + 6 + 9 + 19 + 7 + 0 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 332218515456 + 1274550681600 = 576384^2 + 1128960^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1606769196984 and 1606769197002.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 486750606 + ... + 486753906.

Almost surely, 2^{1606769197056} is an apocalyptic number.

1606769197056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1606769197056 is the 1267584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1606769197056

1606769197056 is an abundant number, since it is smaller than the sum of its proper divisors (3036273383757).

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

1606769197056 is an frugal number, since it uses more digits than its factorization.

1606769197056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6636 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 1606769197056 in words is "one trillion, six hundred six billion, seven hundred sixty-nine million, one hundred ninety-seven thousand, fifty-six".