16629488492661 has 24 divisors (see below), whose sum is σ = 26813438816736. Its totient is φ = 9844094665440.

The previous prime is 16629488492597. The next prime is 16629488492663.

16629488492661 is a `hidden beast` number, since 1 + 6 + 6 + 29 + 488 + 49 + 26 + 61 = 666.

16629488492661 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16629488492661 - 2⁶ = 16629488492597 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 16629488492661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16629488492663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1953189130 + ... + 1953197643.

It is an arithmetic number, because the mean of its divisors is an integer number (1117226617364).

Almost surely, 2^{16629488492661} is an apocalyptic number.

16629488492661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16629488492661 is a deficient number, since it is larger than the sum of its proper divisors (10183950324075).

16629488492661 is a wasteful number, since it uses less digits than its factorization.

16629488492661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3906386833 (or 3906386830 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 72.

The spelling of 16629488492661 in words is "sixteen trillion, six hundred twenty-nine billion, four hundred eighty-eight million, four hundred ninety-two thousand, six hundred sixty-one".