4633141248 has 112 divisors (see below), whose sum is σ = 13727643360. Its totient is φ = 1544306688.

The previous prime is 4633141243. The next prime is 4633141273. The reversal of 4633141248 is 8421413364.

4633141248 is a `hidden beast` number, since 4 + 633 + 1 + 4 + 12 + 4 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (4633141243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210711 + ... + 231657.

Almost surely, 2^4633141248 is an apocalyptic number.

4633141248 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 4633141248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6863821680).

4633141248 is an abundant number, since it is smaller than the sum of its proper divisors (9094502112).

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

4633141248 is an equidigital number, since it uses as much as digits as its factorization.

4633141248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20982 (or 20952 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 4633141248 is about 68067.1818720299. The cubic root of 4633141248 is about 1667.0879543721.

The spelling of 4633141248 in words is "four billion, six hundred thirty-three million, one hundred forty-one thousand, two hundred forty-eight".