248818741248 has 832 divisors, whose sum is σ = 905859072000. Its totient is φ = 58746470400.

The previous prime is 248818741207. The next prime is 248818741273. The reversal of 248818741248 is 842147818842.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 498634503 + ... + 498635001.

Almost surely, 2^248818741248 is an apocalyptic number.

248818741248 is a gapful number since it is divisible by the number (28) 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 248818741248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452929536000).

248818741248 is an abundant number, since it is smaller than the sum of its proper divisors (657040330752).

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

248818741248 is a wasteful number, since it uses less digits than its factorization.

248818741248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 570 counting only the distinct ones).

The product of its digits is 7340032, while the sum is 57.

The spelling of 248818741248 in words is "two hundred forty-eight billion, eight hundred eighteen million, seven hundred forty-one thousand, two hundred forty-eight".