4248345024 has 560 divisors, whose sum is σ = 16286561280. Its totient is φ = 1062512640.

The previous prime is 4248344963. The next prime is 4248345029. The reversal of 4248345024 is 4205438424.

4248345024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4248345024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4248345029) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11575689 + ... + 11576055.

Almost surely, 2^4248345024 is an apocalyptic number.

4248345024 is a gapful number since it is divisible by the number (44) 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 4248345024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8143280640).

4248345024 is an abundant number, since it is smaller than the sum of its proper divisors (12038216256).

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

4248345024 is a wasteful number, since it uses less digits than its factorization.

4248345024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The square root of 4248345024 is about 65179.3297296006. The cubic root of 4248345024 is about 1619.5956192324.

The spelling of 4248345024 in words is "four billion, two hundred forty-eight million, three hundred forty-five thousand, twenty-four".