677259445121 has 24 divisors (see below), whose sum is σ = 796577473800. Its totient is φ = 574087299072.

The previous prime is 677259445117. The next prime is 677259445169. The reversal of 677259445121 is 121544952776.

It can be written as a sum of positive squares in 4 ways, for example, as 1064064400 + 676195380721 = 32620^2 + 822311^2 .

It is not a de Polignac number, because 677259445121 - 2² = 677259445117 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (677259445111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2349905 + ... + 2622321.

It is an arithmetic number, because the mean of its divisors is an integer number (33190728075).

Almost surely, 2^677259445121 is an apocalyptic number.

It is an amenable number.

677259445121 is a deficient number, since it is larger than the sum of its proper divisors (119318028679).

677259445121 is a wasteful number, since it uses less digits than its factorization.

677259445121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272993 (or 272986 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 53.

The spelling of 677259445121 in words is "six hundred seventy-seven billion, two hundred fifty-nine million, four hundred forty-five thousand, one hundred twenty-one".