281474976710657 has 8 divisors (see below), whose sum is σ = 282937726148616. Its totient is φ = 280012271910912.

The previous prime is 281474976710597. The next prime is 281474976710677. The reversal of 281474976710657 is 756017679474182.

281474976710657 is nontrivially palindromic in base 2, base 4, base 8 and base 16.

It is a Cunningham number, because it is equal to 2⁴⁸+1.

It can be written as a sum of positive squares in 4 ways, for example, as 68198131502656 + 213276845208001 = 8258216^2 + 14604001^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 281474976710657 - 2¹⁴ = 281474976694273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (281474976710677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1521953 + ... + 23775329.

It is an arithmetic number, because the mean of its divisors is an integer number (35367215768577).

It is a Proth number, since it is equal to 1 ⋅ 2⁴⁸ + 1 and 1 < 2⁴⁸.

Almost surely, 2^{281474976710657} is an apocalyptic number.

It is an amenable number.

281474976710657 is a deficient number, since it is larger than the sum of its proper divisors (1462749437959).

281474976710657 is a wasteful number, since it uses less digits than its factorization.

281474976710657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22319107.

The product of its (nonzero) digits is 995742720, while the sum is 74.

The spelling of 281474976710657 in words is "two hundred eighty-one trillion, four hundred seventy-four billion, nine hundred seventy-six million, seven hundred ten thousand, six hundred fifty-seven".