1318528585984 has 81 divisors (see below), whose sum is σ = 2696152652613. Its totient is φ = 643546745856.

The previous prime is 1318528585943. The next prime is 1318528586017. The reversal of 1318528585984 is 4895858258131.

The square root of 1318528585984 is 1148272.

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., 703370723584 + 615157862400 = 838672^2 + 784320^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 790010302 + ... + 790011970.

Almost surely, 2^{1318528585984} is an apocalyptic number.

1318528585984 is the 1148272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1318528585984

1318528585984 is an abundant number, since it is smaller than the sum of its proper divisors (1377624066629).

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

1318528585984 is an frugal number, since it uses more digits than its factorization.

1318528585984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440 (or 1714 counting only the distinct ones).

The product of its digits is 110592000, while the sum is 67.

The spelling of 1318528585984 in words is "one trillion, three hundred eighteen billion, five hundred twenty-eight million, five hundred eighty-five thousand, nine hundred eighty-four".