481743122620032 has 5760 divisors, whose sum is σ = 2007703890339840. Its totient is φ = 113488723869696.

The previous prime is 481743122620009. The next prime is 481743122620117. The reversal of 481743122620032 is 230026221347184.

481743122620032 is a `hidden beast` number, since 4 + 8 + 1 + 7 + 4 + 3 + 12 + 2 + 620 + 0 + 3 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 481743122620032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 3793252933953 + ... + 3793252934079.

It is an arithmetic number, because the mean of its divisors is an integer number (348559703184).

Almost surely, 2^{481743122620032} is an apocalyptic number.

481743122620032 is a gapful number since it is divisible by the number (42) 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 481743122620032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003851945169920).

481743122620032 is an abundant number, since it is smaller than the sum of its proper divisors (1525960767719808).

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

481743122620032 is a wasteful number, since it uses less digits than its factorization.

481743122620032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 481743122620032 in words is "four hundred eighty-one trillion, seven hundred forty-three billion, one hundred twenty-two million, six hundred twenty thousand, thirty-two".