434660666944 has 189 divisors, whose sum is σ = 1025381684691. Its totient is φ = 182279946240.

The previous prime is 434660666939. The next prime is 434660666981. The reversal of 434660666944 is 449666066434.

The square root of 434660666944 is 659288.

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 255995521600 + 178665145344 = 505960^2 + 422688^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2252127712 + ... + 2252127904.

It is an arithmetic number, because the mean of its divisors is an integer number (5425299919).

Almost surely, 2^434660666944 is an apocalyptic number.

434660666944 is the 659288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434660666944

434660666944 is an abundant number, since it is smaller than the sum of its proper divisors (590721017747).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434660666944 is an frugal number, since it uses more digits than its factorization.

434660666944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 58.

The spelling of 434660666944 in words is "four hundred thirty-four billion, six hundred sixty million, six hundred sixty-six thousand, nine hundred forty-four".