484166822031360 has 3328 divisors, whose sum is σ = 1998890016614400. Its totient is φ = 110185389490176.

The previous prime is 484166822031353. The next prime is 484166822031509. The reversal of 484166822031360 is 63130228661484.

484166822031360 is a `hidden beast` number, since 4 + 8 + 4 + 16 + 68 + 2 + 203 + 1 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

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

It is a junction number, because it is equal to n+sod(n) for n = 484166822031297 and 484166822031306.

It is a congruent number.

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, 1436696801112 + ... + 1436696801448.

It is an arithmetic number, because the mean of its divisors is an integer number (600628009800).

Almost surely, 2^{484166822031360} is an apocalyptic number.

484166822031360 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 484166822031360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999445008307200).

484166822031360 is an abundant number, since it is smaller than the sum of its proper divisors (1514723194583040).

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

484166822031360 is a wasteful number, since it uses less digits than its factorization.

484166822031360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 484166822031360 in words is "four hundred eighty-four trillion, one hundred sixty-six billion, eight hundred twenty-two million, thirty-one thousand, three hundred sixty".