1463318444329 has 81 divisors (see below), whose sum is σ = 1811267678181. Its totient is φ = 1178709268800.

The previous prime is 1463318444323. The next prime is 1463318444443. The reversal of 1463318444329 is 9234448133641.

The square root of 1463318444329 is 1209677.

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 480841004329 + 982477440000 = 693427^2 + 991200^2 .

It is not a de Polignac number, because 1463318444329 - 2²⁹ = 1462781573417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1463318444323) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14488301379 + ... + 14488301479.

Almost surely, 2^{1463318444329} is an apocalyptic number.

1463318444329 is the 1209677-th square number.

1463318444329 is the 604839-th centered octagonal number.

It is an amenable number.

1463318444329 is a deficient number, since it is larger than the sum of its proper divisors (347949233852).

1463318444329 is an frugal number, since it uses more digits than its factorization.

1463318444329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 196 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 52.

The spelling of 1463318444329 in words is "one trillion, four hundred sixty-three billion, three hundred eighteen million, four hundred forty-four thousand, three hundred twenty-nine".