1318648968 has 192 divisors, whose sum is σ = 4416397440. Its totient is φ = 346125312.

The previous prime is 1318648939. The next prime is 1318648987. The reversal of 1318648968 is 8698468131.

It is a super-3 number, since 3×1318648968³ (a number of 28 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2050455 + ... + 2051097.

It is an arithmetic number, because the mean of its divisors is an integer number (23002070).

Almost surely, 2^1318648968 is an apocalyptic number.

1318648968 is a gapful number since it is divisible by the number (18) 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 1318648968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208198720).

1318648968 is an abundant number, since it is smaller than the sum of its proper divisors (3097748472).

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

1318648968 is a wasteful number, since it uses less digits than its factorization.

1318648968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 981 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 1318648968 is about 36313.2065232472. The cubic root of 1318648968 is about 1096.5869327732.

The spelling of 1318648968 in words is "one billion, three hundred eighteen million, six hundred forty-eight thousand, nine hundred sixty-eight".