1461668384 has 72 divisors (see below), whose sum is σ = 3236975280. Its totient is φ = 648869760.

The previous prime is 1461668363. The next prime is 1461668399. The reversal of 1461668384 is 4838661641.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162107 + ... + 170885.

It is an arithmetic number, because the mean of its divisors is an integer number (44957990).

Almost surely, 2^1461668384 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 1461668384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618487640).

1461668384 is an abundant number, since it is smaller than the sum of its proper divisors (1775306896).

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

1461668384 is a wasteful number, since it uses less digits than its factorization.

1461668384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8854 (or 8835 counting only the distinct ones).

The product of its digits is 663552, while the sum is 47.

The square root of 1461668384 is about 38231.7719181311. The cubic root of 1461668384 is about 1134.8791513578.

The spelling of 1461668384 in words is "one billion, four hundred sixty-one million, six hundred sixty-eight thousand, three hundred eighty-four".