4048123968 has 336 divisors, whose sum is σ = 13691941120. Its totient is φ = 1119744000.

The previous prime is 4048123957. The next prime is 4048123979. The reversal of 4048123968 is 8693218404.

It is a happy number.

4048123968 is a `hidden beast` number, since 404 + 8 + 1 + 239 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4048123957) and next prime (4048123979).

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26808693 + ... + 26808843.

Almost surely, 2^4048123968 is an apocalyptic number.

4048123968 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 4048123968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6845970560).

4048123968 is an abundant number, since it is smaller than the sum of its proper divisors (9643817152).

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

4048123968 is a wasteful number, since it uses less digits than its factorization.

4048123968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4048123968 is about 63624.8691000618. The cubic root of 4048123968 is about 1593.7416945911.

The spelling of 4048123968 in words is "four billion, forty-eight million, one hundred twenty-three thousand, nine hundred sixty-eight".