16624708482681 has 160 divisors (see below), whose sum is σ = 28632445380000. Its totient is φ = 9522213396480.

The previous prime is 16624708482631. The next prime is 16624708482691. The reversal of 16624708482681 is 18628480742661.

It is a happy number.

16624708482681 is a `hidden beast` number, since 1 + 6 + 6 + 2 + 4 + 70 + 8 + 482 + 6 + 81 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 7066000658025 + 9558707824656 = 2658195^2 + 3091716^2 .

It is not a de Polignac number, because 16624708482681 - 2¹⁹ = 16624707958393 is a prime.

It is a super-2 number, since 2×16624708482681² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16624708482611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1055596195 + ... + 1055611943.

It is an arithmetic number, because the mean of its divisors is an integer number (178952783625).

Almost surely, 2^{16624708482681} is an apocalyptic number.

It is an amenable number.

16624708482681 is a deficient number, since it is larger than the sum of its proper divisors (12007736897319).

16624708482681 is a wasteful number, since it uses less digits than its factorization.

16624708482681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16441 (or 16432 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 16624708482681 in words is "sixteen trillion, six hundred twenty-four billion, seven hundred eight million, four hundred eighty-two thousand, six hundred eighty-one".