1317129984 has 216 divisors, whose sum is σ = 4071255552. Its totient is φ = 424258560.

The previous prime is 1317129967. The next prime is 1317129997. The reversal of 1317129984 is 4899217131.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1928107 + ... + 1928789.

Almost surely, 2^1317129984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1317129984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035627776).

1317129984 is an abundant number, since it is smaller than the sum of its proper divisors (2754125568).

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

1317129984 is an frugal number, since it uses more digits than its factorization.

1317129984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 719 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 1317129984 is about 36292.2854612382. The cubic root of 1317129984 is about 1096.1657092226.

The spelling of 1317129984 in words is "one billion, three hundred seventeen million, one hundred twenty-nine thousand, nine hundred eighty-four".