488768774401 has 8 divisors (see below), whose sum is σ = 506199433320. Its totient is φ = 471376553088.

The previous prime is 488768774393. The next prime is 488768774407. The reversal of 488768774401 is 104477867884.

It is a Cunningham number, because it is equal to 699120²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 74734437376 + 414034337025 = 273376^2 + 643455^2 .

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 488768774401 - 2³ = 488768774393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (488768774407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9583516 + ... + 9634381.

It is an arithmetic number, because the mean of its divisors is an integer number (63274929165).

Almost surely, 2^488768774401 is an apocalyptic number.

It is an amenable number.

488768774401 is a deficient number, since it is larger than the sum of its proper divisors (17430658919).

488768774401 is a wasteful number, since it uses less digits than its factorization.

488768774401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19218803.

The product of its (nonzero) digits is 67436544, while the sum is 64.

The spelling of 488768774401 in words is "four hundred eighty-eight billion, seven hundred sixty-eight million, seven hundred seventy-four thousand, four hundred one".