6242433718248 has 512 divisors, whose sum is σ = 22118334336000. Its totient is φ = 1586650705920.

The previous prime is 6242433718247. The next prime is 6242433718331. The reversal of 6242433718248 is 8428173342426.

6242433718248 is a `hidden beast` number, since 6 + 2 + 4 + 24 + 3 + 371 + 8 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a junction number, because it is equal to n+sod(n) for n = 6242433718194 and 6242433718203.

It is not an unprimeable number, because it can be changed into a prime (6242433718243) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 317493538 + ... + 317513198.

It is an arithmetic number, because the mean of its divisors is an integer number (43199871750).

Almost surely, 2^{6242433718248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6242433718248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11059167168000).

6242433718248 is an abundant number, since it is smaller than the sum of its proper divisors (15875900617752).

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

6242433718248 is a wasteful number, since it uses less digits than its factorization.

6242433718248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20282 (or 20272 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 54.

The spelling of 6242433718248 in words is "six trillion, two hundred forty-two billion, four hundred thirty-three million, seven hundred eighteen thousand, two hundred forty-eight".