481617380514816 has 2816 divisors, whose sum is σ = 1857490031738880. Its totient is φ = 119873482260480.

The previous prime is 481617380514779. The next prime is 481617380514821. The reversal of 481617380514816 is 618415083716184.

It is a happy number.

481617380514816 is a `hidden beast` number, since 4 + 8 + 1 + 6 + 1 + 7 + 38 + 0 + 514 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1087172416291 + ... + 1087172416733.

It is an arithmetic number, because the mean of its divisors is an integer number (659620039680).

Almost surely, 2^{481617380514816} 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 481617380514816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928745015869440).

481617380514816 is an abundant number, since it is smaller than the sum of its proper divisors (1375872651224064).

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

481617380514816 is a wasteful number, since it uses less digits than its factorization.

481617380514816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 481617380514816 in words is "four hundred eighty-one trillion, six hundred seventeen billion, three hundred eighty million, five hundred fourteen thousand, eight hundred sixteen".