4248603405312 has 352 divisors, whose sum is σ = 13477742505984. Its totient is φ = 1164312576000.

The previous prime is 4248603405311. The next prime is 4248603405313. The reversal of 4248603405312 is 2135043068424.

4248603405312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4248603405311) and next prime (4248603405313).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4248603405311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75300312 + ... + 75356712.

Almost surely, 2^{4248603405312} is an apocalyptic number.

4248603405312 is a gapful number since it is divisible by the number (42) 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 4248603405312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6738871252992).

4248603405312 is an abundant number, since it is smaller than the sum of its proper divisors (9229139100672).

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

4248603405312 is a wasteful number, since it uses less digits than its factorization.

4248603405312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56575 (or 56557 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 4248603405312 in words is "four trillion, two hundred forty-eight billion, six hundred three million, four hundred five thousand, three hundred twelve".