4724483248128 has 624 divisors, whose sum is σ = 15347658867840. Its totient is φ = 1286375473152.

The previous prime is 4724483248103. The next prime is 4724483248157. The reversal of 4724483248128 is 8218423844274.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5387095626 + ... + 5387096502.

It is an arithmetic number, because the mean of its divisors is an integer number (24595607160).

Almost surely, 2^{4724483248128} is an apocalyptic number.

4724483248128 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 4724483248128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7673829433920).

4724483248128 is an abundant number, since it is smaller than the sum of its proper divisors (10623175619712).

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

4724483248128 is a wasteful number, since it uses less digits than its factorization.

4724483248128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1301 counting only the distinct ones).

The product of its digits is 22020096, while the sum is 57.

The spelling of 4724483248128 in words is "four trillion, seven hundred twenty-four billion, four hundred eighty-three million, two hundred forty-eight thousand, one hundred twenty-eight".