484077275136 has 1008 divisors, whose sum is σ = 1821575328300. Its totient is φ = 127417909248.

The previous prime is 484077275117. The next prime is 484077275189. The reversal of 484077275136 is 631572770484.

484077275136 is a `hidden beast` number, since 484 + 0 + 7 + 7 + 27 + 5 + 136 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 483748070400 + 329204736 = 695520^2 + 18144^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 951035650 + ... + 951036158.

Almost surely, 2^484077275136 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 484077275136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910787664150).

484077275136 is an abundant number, since it is smaller than the sum of its proper divisors (1337498053164).

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

484077275136 is an equidigital number, since it uses as much as digits as its factorization.

484077275136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 484077275136 in words is "four hundred eighty-four billion, seventy-seven million, two hundred seventy-five thousand, one hundred thirty-six".