4257248398848 has 280 divisors, whose sum is σ = 12773700442008. Its totient is φ = 1416828506112.

The previous prime is 4257248398829. The next prime is 4257248398861. The reversal of 4257248398848 is 8488938427524.

4257248398848 is a `hidden beast` number, since 4 + 2 + 57 + 2 + 483 + 98 + 8 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 243722211 + ... + 243739677.

Almost surely, 2^{4257248398848} is an apocalyptic number.

4257248398848 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 4257248398848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6386850221004).

4257248398848 is an abundant number, since it is smaller than the sum of its proper divisors (8516452043160).

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

4257248398848 is an frugal number, since it uses more digits than its factorization.

4257248398848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18156 (or 18125 counting only the distinct ones).

The product of its digits is 990904320, while the sum is 72.

The spelling of 4257248398848 in words is "four trillion, two hundred fifty-seven billion, two hundred forty-eight million, three hundred ninety-eight thousand, eight hundred forty-eight".