1663646176413 has 24 divisors (see below), whose sum is σ = 2740123117368. Its totient is φ = 963559775232.

The previous prime is 1663646176393. The next prime is 1663646176459. The reversal of 1663646176413 is 3146716463661.

1663646176413 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 6 + 4 + 617 + 6 + 4 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 135290081124 + 1528356095289 = 367818^2 + 1236267^2 .

It is not a de Polignac number, because 1663646176413 - 2²² = 1663641982109 is a prime.

It is a super-3 number, since 3×1663646176413³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1663646176413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1663646176813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418209720 + ... + 418213697.

It is an arithmetic number, because the mean of its divisors is an integer number (114171796557).

Almost surely, 2^{1663646176413} is an apocalyptic number.

1663646176413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1663646176413 is a deficient number, since it is larger than the sum of its proper divisors (1076476940955).

1663646176413 is a wasteful number, since it uses less digits than its factorization.

1663646176413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836423453 (or 836423450 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 1663646176413 in words is "one trillion, six hundred sixty-three billion, six hundred forty-six million, one hundred seventy-six thousand, four hundred thirteen".