1248766848 has 256 divisors, whose sum is σ = 4318272000. Its totient is φ = 347811840.

The previous prime is 1248766847. The next prime is 1248766859. The reversal of 1248766848 is 8486678421.

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 = 1248766794 and 1248766803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1248766843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 991243 + ... + 992501.

It is an arithmetic number, because the mean of its divisors is an integer number (16868250).

Almost surely, 2^1248766848 is an apocalyptic number.

1248766848 is a gapful number since it is divisible by the number (18) 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 1248766848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159136000).

1248766848 is an abundant number, since it is smaller than the sum of its proper divisors (3069505152).

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

1248766848 is a wasteful number, since it uses less digits than its factorization.

1248766848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1312 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 1248766848 is about 35337.8953532889. The cubic root of 1248766848 is about 1076.8629957397.

The spelling of 1248766848 in words is "one billion, two hundred forty-eight million, seven hundred sixty-six thousand, eight hundred forty-eight".