4344227286961 has 27 divisors (see below), whose sum is σ = 4620070388619. Its totient is φ = 4084257002112.

The previous prime is 4344227286937. The next prime is 4344227286967. The reversal of 4344227286961 is 1696827224434.

The square root of 4344227286961 is 2084281.

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

It can be written as a sum of positive squares in only one way, i.e., 1421686599025 + 2922540687936 = 1192345^2 + 1709544^2 .

It is not a de Polignac number, because 4344227286961 - 2⁴¹ = 2145204031409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4344227286896 and 4344227286905.

It is not an unprimeable number, because it can be changed into a prime (4344227286967) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6455017921 + ... + 6455018593.

It is an arithmetic number, because the mean of its divisors is an integer number (171113718097).

Almost surely, 2^{4344227286961} is an apocalyptic number.

4344227286961 is the 2084281-st square number.

4344227286961 is the 1042141-st centered octagonal number.

It is an amenable number.

4344227286961 is a deficient number, since it is larger than the sum of its proper divisors (275843101658).

4344227286961 is an frugal number, since it uses more digits than its factorization.

4344227286961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 855 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 58.

The spelling of 4344227286961 in words is "four trillion, three hundred forty-four billion, two hundred twenty-seven million, two hundred eighty-six thousand, nine hundred sixty-one".