1481483068416 has 1056 divisors, whose sum is σ = 5073094641888. Its totient is φ = 412216197120.

The previous prime is 1481483068343. The next prime is 1481483068427. The reversal of 1481483068416 is 6148603841841.

1481483068416 is a `hidden beast` number, since 1 + 4 + 81 + 483 + 0 + 6 + 84 + 1 + 6 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1239891158016 + 241591910400 = 1113504^2 + 491520^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9436197810 + ... + 9436197966.

Almost surely, 2^{1481483068416} is an apocalyptic number.

1481483068416 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 1481483068416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536547320944).

1481483068416 is an abundant number, since it is smaller than the sum of its proper divisors (3591611573472).

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

1481483068416 is a wasteful number, since it uses less digits than its factorization.

1481483068416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 1481483068416 in words is "one trillion, four hundred eighty-one billion, four hundred eighty-three million, sixty-eight thousand, four hundred sixteen".