481503418368 has 192 divisors, whose sum is σ = 1469265557760. Its totient is φ = 137367552000.

The previous prime is 481503418367. The next prime is 481503418387. The reversal of 481503418368 is 863814305184.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 481503418368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481503418367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30140623 + ... + 30156593.

It is an arithmetic number, because the mean of its divisors is an integer number (7652424780).

Almost surely, 2^481503418368 is an apocalyptic number.

481503418368 is a gapful number since it is divisible by the number (48) 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 481503418368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734632778880).

481503418368 is an abundant number, since it is smaller than the sum of its proper divisors (987762139392).

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

481503418368 is a wasteful number, since it uses less digits than its factorization.

481503418368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16704 (or 16684 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 481503418368 in words is "four hundred eighty-one billion, five hundred three million, four hundred eighteen thousand, three hundred sixty-eight".