481844363616 has 288 divisors, whose sum is σ = 1798272403200. Its totient is φ = 118567203840.

The previous prime is 481844363537. The next prime is 481844363621. The reversal of 481844363616 is 616363448184.

481844363616 is a `hidden beast` number, since 4 + 8 + 18 + 4 + 4 + 3 + 6 + 3 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150451 + ... + 993138.

It is an arithmetic number, because the mean of its divisors is an integer number (6244001400).

Almost surely, 2^481844363616 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 481844363616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899136201600).

481844363616 is an abundant number, since it is smaller than the sum of its proper divisors (1316428039584).

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

481844363616 is a wasteful number, since it uses less digits than its factorization.

481844363616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143642 (or 1143631 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 481844363616 in words is "four hundred eighty-one billion, eight hundred forty-four million, three hundred sixty-three thousand, six hundred sixteen".