481122062323200 has 1440 divisors, whose sum is σ = 1808377862971680. Its totient is φ = 126665175859200.

The previous prime is 481122062323163. The next prime is 481122062323207. The reversal of 481122062323200 is 2323260221184.

481122062323200 is a `hidden beast` number, since 4 + 8 + 1 + 1 + 2 + 2 + 0 + 623 + 2 + 3 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481122062323207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 353506290520 + ... + 353506291880.

It is an arithmetic number, because the mean of its divisors is an integer number (1255817960397).

Almost surely, 2^{481122062323200} is an apocalyptic number.

481122062323200 is a gapful number since it is divisible by the number (40) 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 481122062323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904188931485840).

481122062323200 is an abundant number, since it is smaller than the sum of its proper divisors (1327255800648480).

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

481122062323200 is a wasteful number, since it uses less digits than its factorization.

481122062323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 481122062323200 in words is "four hundred eighty-one trillion, one hundred twenty-two billion, sixty-two million, three hundred twenty-three thousand, two hundred".