8916100448257 has 16 divisors (see below), whose sum is σ = 9101898907920. Its totient is φ = 8732596764672.

The previous prime is 8916100448237. The next prime is 8916100448291. The reversal of 8916100448257 is 7528440016198.

8916100448257 is nontrivially palindromic in base 12.

It is a Cunningham number, because it is equal to 12¹²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 2863865751616 + 6052234696641 = 1692296^2 + 2460129^2 .

It is a cyclic number.

It is not a de Polignac number, because 8916100448257 - 2¹⁵ = 8916100415489 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8916100448198 and 8916100448207.

It is not an unprimeable number, because it can be changed into a prime (8916100448237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2888353 + ... + 5116129.

It is an arithmetic number, because the mean of its divisors is an integer number (568868681745).

It is a Proth number, since it is equal to 531441 ⋅ 2²⁴ + 1 and 531441 < 2²⁴.

Almost surely, 2^{8916100448257} is an apocalyptic number.

It is an amenable number.

8916100448257 is a deficient number, since it is larger than the sum of its proper divisors (185798459663).

8916100448257 is a wasteful number, since it uses less digits than its factorization.

8916100448257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228292.

The product of its (nonzero) digits is 3870720, while the sum is 55.

The spelling of 8916100448257 in words is "eight trillion, nine hundred sixteen billion, one hundred million, four hundred forty-eight thousand, two hundred fifty-seven".