484791948509184 has 768 divisors, whose sum is σ = 1510208284384800. Its totient is φ = 155218423578624.

The previous prime is 484791948509159. The next prime is 484791948509237. The reversal of 484791948509184 is 481905849197484.

484791948509184 is a `hidden beast` number, since 4 + 8 + 4 + 7 + 9 + 1 + 94 + 8 + 509 + 18 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45490465584 + ... + 45490476240.

Almost surely, 2^{484791948509184} 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 484791948509184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755104142192400).

484791948509184 is an abundant number, since it is smaller than the sum of its proper divisors (1025416335875616).

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

484791948509184 is an equidigital number, since it uses as much as digits as its factorization.

484791948509184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10928 (or 10888 counting only the distinct ones).

The product of its (nonzero) digits is 3344302080, while the sum is 81.

The spelling of 484791948509184 in words is "four hundred eighty-four trillion, seven hundred ninety-one billion, nine hundred forty-eight million, five hundred nine thousand, one hundred eighty-four".