4248617038848 has 1848 divisors, whose sum is σ = 16744412968128. Its totient is φ = 1050875265024.

The previous prime is 4248617038837. The next prime is 4248617038961. The reversal of 4248617038848 is 8488307168424.

4248617038848 is a `hidden beast` number, since 4 + 2 + 4 + 8 + 617 + 0 + 3 + 8 + 8 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 15012780915 + ... + 15012781197.

Almost surely, 2^{4248617038848} is an apocalyptic number.

4248617038848 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 4248617038848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8372206484064).

4248617038848 is an abundant number, since it is smaller than the sum of its proper divisors (12495795929280).

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

4248617038848 is a wasteful number, since it uses less digits than its factorization.

4248617038848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 63.

The spelling of 4248617038848 in words is "four trillion, two hundred forty-eight billion, six hundred seventeen million, thirty-eight thousand, eight hundred forty-eight".