483432271561008 has 1280 divisors, whose sum is σ = 1843466924851200. Its totient is φ = 117586859258880.

The previous prime is 483432271560841. The next prime is 483432271561013. The reversal of 483432271561008 is 800165172234384.

483432271561008 is a `hidden beast` number, since 4 + 8 + 3 + 4 + 3 + 2 + 2 + 7 + 15 + 610 + 0 + 8 = 666.

It is a super-2 number, since 2×483432271561008² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8355322383 + ... + 8355380241.

It is an arithmetic number, because the mean of its divisors is an integer number (1440208535040).

Almost surely, 2^{483432271561008} is an apocalyptic number.

483432271561008 is a gapful number since it is divisible by the number (48) 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 483432271561008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921733462425600).

483432271561008 is an abundant number, since it is smaller than the sum of its proper divisors (1360034653290192).

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

483432271561008 is a wasteful number, since it uses less digits than its factorization.

483432271561008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58147 (or 58135 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 483432271561008 in words is "four hundred eighty-three trillion, four hundred thirty-two billion, two hundred seventy-one million, five hundred sixty-one thousand, eight".