4263724597248 has 480 divisors, whose sum is σ = 13176423321600. Its totient is φ = 1360907993088.

The previous prime is 4263724597159. The next prime is 4263724597273. The reversal of 4263724597248 is 8427954273624.

4263724597248 is a `hidden beast` number, since 4 + 2 + 6 + 3 + 72 + 459 + 72 + 48 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1629240036 + ... + 1629242652.

It is an arithmetic number, because the mean of its divisors is an integer number (27450881920).

Almost surely, 2^{4263724597248} is an apocalyptic number.

4263724597248 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 4263724597248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6588211660800).

4263724597248 is an abundant number, since it is smaller than the sum of its proper divisors (8912698724352).

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

4263724597248 is a wasteful number, since it uses less digits than its factorization.

4263724597248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810 (or 2778 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 63.

The spelling of 4263724597248 in words is "four trillion, two hundred sixty-three billion, seven hundred twenty-four million, five hundred ninety-seven thousand, two hundred forty-eight".