481318669338624 has 672 divisors, whose sum is σ = 1645348348458360. Its totient is φ = 139386306428928.

The previous prime is 481318669338613. The next prime is 481318669338629. The reversal of 481318669338624 is 426833966813184.

It is a happy number.

481318669338624 is a `hidden beast` number, since 4 + 8 + 1 + 3 + 186 + 69 + 3 + 386 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 423022878950400 + 58295790388224 = 20567520^2 + 7635168^2 .

It is a super-2 number, since 2×481318669338624² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (481318669338629) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 329221854 + ... + 330680610.

Almost surely, 2^{481318669338624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481318669338624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822674174229180).

481318669338624 is an abundant number, since it is smaller than the sum of its proper divisors (1164029679119736).

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

481318669338624 is a wasteful number, since it uses less digits than its factorization.

481318669338624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458827 (or 1458792 counting only the distinct ones).

The product of its digits is 859963392, while the sum is 72.

The spelling of 481318669338624 in words is "four hundred eighty-one trillion, three hundred eighteen billion, six hundred sixty-nine million, three hundred thirty-eight thousand, six hundred twenty-four".