4488378048 has 672 divisors, whose sum is σ = 17234611200. Its totient is φ = 1132185600.

The previous prime is 4488378017. The next prime is 4488378061. The reversal of 4488378048 is 8408738844.

It is a happy number.

4488378048 is a `hidden beast` number, since 448 + 83 + 7 + 80 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 4488377985 and 4488378003.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56814873 + ... + 56814951.

Almost surely, 2^4488378048 is an apocalyptic number.

4488378048 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 4488378048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8617305600).

4488378048 is an abundant number, since it is smaller than the sum of its proper divisors (12746233152).

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

4488378048 is a wasteful number, since it uses less digits than its factorization.

4488378048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The square root of 4488378048 is about 66995.3584063851. The cubic root of 4488378048 is about 1649.5411087505.

The spelling of 4488378048 in words is "four billion, four hundred eighty-eight million, three hundred seventy-eight thousand, forty-eight".