1481338656 has 144 divisors (see below), whose sum is σ = 5097665664. Its totient is φ = 398333952.

The previous prime is 1481338633. The next prime is 1481338679. The reversal of 1481338656 is 6568331841.

It is an interprime number because it is at equal distance from previous prime (1481338633) and next prime (1481338679).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12661 + ... + 55883.

It is an arithmetic number, because the mean of its divisors is an integer number (35400456).

Almost surely, 2^1481338656 is an apocalyptic number.

1481338656 is a gapful number since it is divisible by the number (16) 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 1481338656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548832832).

1481338656 is an abundant number, since it is smaller than the sum of its proper divisors (3616327008).

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

1481338656 is a wasteful number, since it uses less digits than its factorization.

1481338656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43263 (or 43252 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 1481338656 is about 38488.1625438264. The cubic root of 1481338656 is about 1139.9473290531.

The spelling of 1481338656 in words is "one billion, four hundred eighty-one million, three hundred thirty-eight thousand, six hundred fifty-six".