64256673121 has 9 divisors (see below), whose sum is σ = 66556439833. Its totient is φ = 62033828080.

The previous prime is 64256673101. The next prime is 64256673133. The reversal of 64256673121 is 12137665246.

The square root of 64256673121 is 253489.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6310554721 + 57946118400 = 79439^2 + 240720^2 .

It is not a de Polignac number, because 64256673121 - 2¹⁵ = 64256640353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64256673101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7346811 + ... + 7355551.

Almost surely, 2^64256673121 is an apocalyptic number.

64256673121 is the 253489-th square number.

64256673121 is the 126745-th centered octagonal number.

It is an amenable number.

64256673121 is a deficient number, since it is larger than the sum of its proper divisors (2299766712).

64256673121 is an frugal number, since it uses more digits than its factorization.

64256673121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17540 (or 8770 counting only the distinct ones).

The product of its digits is 362880, while the sum is 43.

The spelling of 64256673121 in words is "sixty-four billion, two hundred fifty-six million, six hundred seventy-three thousand, one hundred twenty-one".