481346914048 has 864 divisors, whose sum is σ = 1378905292800. Its totient is φ = 162603417600.

The previous prime is 481346913979. The next prime is 481346914051. The reversal of 481346914048 is 840419643184.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 481346913986 and 481346914004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6092998873 + ... + 6092998951.

It is an arithmetic number, because the mean of its divisors is an integer number (1595955200).

Almost surely, 2^481346914048 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 481346914048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689452646400).

481346914048 is an abundant number, since it is smaller than the sum of its proper divisors (897558378752).

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

481346914048 is a wasteful number, since it uses less digits than its factorization.

481346914048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 52.

The spelling of 481346914048 in words is "four hundred eighty-one billion, three hundred forty-six million, nine hundred fourteen thousand, forty-eight".