1468338312 has 96 divisors (see below), whose sum is σ = 4408024320. Its totient is φ = 405982080.

The previous prime is 1468338307. The next prime is 1468338317. The reversal of 1468338312 is 2138338641.

It is an interprime number because it is at equal distance from previous prime (1468338307) and next prime (1468338317).

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

It is not an unprimeable number, because it can be changed into a prime (1468338317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16318 + ... + 56594.

It is an arithmetic number, because the mean of its divisors is an integer number (45916920).

Almost surely, 2^1468338312 is an apocalyptic number.

1468338312 is a gapful number since it is divisible by the number (12) 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 1468338312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204012160).

1468338312 is an abundant number, since it is smaller than the sum of its proper divisors (2939686008).

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

1468338312 is a wasteful number, since it uses less digits than its factorization.

1468338312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40331 (or 40320 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 1468338312 is about 38318.9028026639. The cubic root of 1468338312 is about 1136.6027701870.

The spelling of 1468338312 in words is "one billion, four hundred sixty-eight million, three hundred thirty-eight thousand, three hundred twelve".