1481438664 has 192 divisors, whose sum is σ = 4406438400. Its totient is φ = 447897600.

The previous prime is 1481438663. The next prime is 1481438687. The reversal of 1481438664 is 4668341841.

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 (1481438663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7675752 + ... + 7675944.

It is an arithmetic number, because the mean of its divisors is an integer number (22950200).

Almost surely, 2^1481438664 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 1481438664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203219200).

1481438664 is an abundant number, since it is smaller than the sum of its proper divisors (2924999736).

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

1481438664 is a wasteful number, since it uses less digits than its factorization.

1481438664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 429 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 1481438664 is about 38489.4617265558. The cubic root of 1481438664 is about 1139.9729818158.

The spelling of 1481438664 in words is "one billion, four hundred eighty-one million, four hundred thirty-eight thousand, six hundred sixty-four".