1318967664 has 160 divisors (see below), whose sum is σ = 4053073920. Its totient is φ = 361670400.

The previous prime is 1318967653. The next prime is 1318967711. The reversal of 1318967664 is 4667698131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1447369 + ... + 1448279.

It is an arithmetic number, because the mean of its divisors is an integer number (25331712).

Almost surely, 2^1318967664 is an apocalyptic number.

1318967664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1318967664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026536960).

1318967664 is an abundant number, since it is smaller than the sum of its proper divisors (2734106256).

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

1318967664 is a wasteful number, since it uses less digits than its factorization.

1318967664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1093 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 1318967664 is about 36317.5944137273. The cubic root of 1318967664 is about 1096.6752680636.

The spelling of 1318967664 in words is "one billion, three hundred eighteen million, nine hundred sixty-seven thousand, six hundred sixty-four".