22408257328257 has 32 divisors (see below), whose sum is σ = 30196263997440. Its totient is φ = 14780408670720.

The previous prime is 22408257328207. The next prime is 22408257328349. The reversal of 22408257328257 is 75282375280422.

It is not a de Polignac number, because 22408257328257 - 2¹⁸ = 22408257066113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22408257328197 and 22408257328206.

It is not an unprimeable number, because it can be changed into a prime (22408257328207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392774908 + ... + 392831954.

It is an arithmetic number, because the mean of its divisors is an integer number (943633249920).

Almost surely, 2^{22408257328257} is an apocalyptic number.

It is an amenable number.

22408257328257 is a deficient number, since it is larger than the sum of its proper divisors (7788006669183).

22408257328257 is a wasteful number, since it uses less digits than its factorization.

22408257328257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60813.

The product of its (nonzero) digits is 30105600, while the sum is 57.

The spelling of 22408257328257 in words is "twenty-two trillion, four hundred eight billion, two hundred fifty-seven million, three hundred twenty-eight thousand, two hundred fifty-seven".