448735436377705 has 64 divisors (see below), whose sum is σ = 616495804704000. Its totient is φ = 311382657589248.

The previous prime is 448735436377703. The next prime is 448735436377717. The reversal of 448735436377705 is 507773634537844.

It is a cyclic number.

It is not a de Polignac number, because 448735436377705 - 2¹ = 448735436377703 is a prime.

It is a super-2 number, since 2×448735436377705² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (448735436377703) 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 63 ways as a sum of consecutive naturals, for example, 339286186 + ... + 340606204.

It is an arithmetic number, because the mean of its divisors is an integer number (9632746948500).

Almost surely, 2^{448735436377705} is an apocalyptic number.

It is an amenable number.

448735436377705 is a deficient number, since it is larger than the sum of its proper divisors (167760368326295).

448735436377705 is a wasteful number, since it uses less digits than its factorization.

448735436377705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325786.

The product of its (nonzero) digits is 4978713600, while the sum is 73.

The spelling of 448735436377705 in words is "four hundred forty-eight trillion, seven hundred thirty-five billion, four hundred thirty-six million, three hundred seventy-seven thousand, seven hundred five".