1468182144 has 128 divisors (see below), whose sum is σ = 4581823680. Its totient is φ = 410664960.

The previous prime is 1468182127. The next prime is 1468182151. The reversal of 1468182144 is 4412818641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41544 + ... + 68280.

Almost surely, 2^1468182144 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 1468182144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290911840).

1468182144 is an abundant number, since it is smaller than the sum of its proper divisors (3113641536).

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

1468182144 is a wasteful number, since it uses less digits than its factorization.

1468182144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26778 (or 26766 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 1468182144 is about 38316.8650074611. The cubic root of 1468182144 is about 1136.5624735530.

The spelling of 1468182144 in words is "one billion, four hundred sixty-eight million, one hundred eighty-two thousand, one hundred forty-four".