484150099968 has 300 divisors, whose sum is σ = 1461729185532. Its totient is φ = 159677153280.

The previous prime is 484150099949. The next prime is 484150099973. The reversal of 484150099968 is 869990051484.

484150099968 is a `hidden beast` number, since 48 + 415 + 0 + 0 + 99 + 96 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 216604606464 + 267545493504 = 465408^2 + 517248^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 128727208 + ... + 128730968.

Almost surely, 2^484150099968 is an apocalyptic number.

484150099968 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 484150099968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730864592766).

484150099968 is an abundant number, since it is smaller than the sum of its proper divisors (977579085564).

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

484150099968 is an frugal number, since it uses more digits than its factorization.

484150099968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3898 (or 3863 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 484150099968 in words is "four hundred eighty-four billion, one hundred fifty million, ninety-nine thousand, nine hundred sixty-eight".