481911223680 has 1152 divisors, whose sum is σ = 1884138965280. Its totient is φ = 117385003008.

The previous prime is 481911223639. The next prime is 481911223681. The reversal of 481911223680 is 86322119184.

481911223680 is a `hidden beast` number, since 4 + 81 + 91 + 122 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481911223681) 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, 3069498162 + ... + 3069498318.

Almost surely, 2^481911223680 is an apocalyptic number.

481911223680 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 481911223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942069482640).

481911223680 is an abundant number, since it is smaller than the sum of its proper divisors (1402227741600).

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

481911223680 is an equidigital number, since it uses as much as digits as its factorization.

481911223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 481911223680 in words is "four hundred eighty-one billion, nine hundred eleven million, two hundred twenty-three thousand, six hundred eighty".