4538475648 has 576 divisors, whose sum is σ = 16284897720. Its totient is φ = 1207664640.

The previous prime is 4538475581. The next prime is 4538475653. The reversal of 4538475648 is 8465748354.

It is a happy number.

4538475648 is a `hidden beast` number, since 4 + 5 + 38 + 47 + 564 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4054123584 + 484352064 = 63672^2 + 22008^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×4538475648² = 41195522414978039808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4538475594 and 4538475603.

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 71 ways as a sum of consecutive naturals, for example, 85631590 + ... + 85631642.

Almost surely, 2^4538475648 is an apocalyptic number.

4538475648 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 4538475648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8142448860).

4538475648 is an abundant number, since it is smaller than the sum of its proper divisors (11746422072).

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

4538475648 is a wasteful number, since it uses less digits than its factorization.

4538475648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 143 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

The square root of 4538475648 is about 67368.2094759836. The cubic root of 4538475648 is about 1655.6556029591.

The spelling of 4538475648 in words is "four billion, five hundred thirty-eight million, four hundred seventy-five thousand, six hundred forty-eight".