481890304000000 has 931 divisors, whose sum is σ = 1405491008684029. Its totient is φ = 165219532800000.

The previous prime is 481890303999977. The next prime is 481890304000037. The reversal of 481890304000000 is 403098184.

The square root of 481890304000000 is 21952000.

The cubic root of 481890304000000 is 78400.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 422182167773184 + 59708136226816 = 20547072^2 + 7727104^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 68841471999997 + ... + 68841472000003.

Almost surely, 2^{481890304000000} is an apocalyptic number.

481890304000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

481890304000000 is the 21952000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481890304000000

481890304000000 is an abundant number, since it is smaller than the sum of its proper divisors (923600704684029).

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

481890304000000 is an frugal number, since it uses more digits than its factorization.

481890304000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

Adding to 481890304000000 its reverse (403098184), we get a palindrome (481890707098184).

The spelling of 481890304000000 in words is "four hundred eighty-one trillion, eight hundred ninety billion, three hundred four million", and thus it is an aban number.