248483846268 has 144 divisors (see below), whose sum is σ = 781679808000. Its totient is φ = 64939480704.

The previous prime is 248483846251. The next prime is 248483846279. The reversal of 248483846268 is 862648384842.

248483846268 is a `hidden beast` number, since 2 + 4 + 84 + 8 + 38 + 462 + 68 = 666.

248483846268 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×248483846268² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 755928 + ... + 1033631.

It is an arithmetic number, because the mean of its divisors is an integer number (5428332000).

Almost surely, 2^248483846268 is an apocalyptic number.

248483846268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

248483846268 is an abundant number, since it is smaller than the sum of its proper divisors (533195961732).

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

248483846268 is a wasteful number, since it uses less digits than its factorization.

248483846268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789624 (or 1789619 counting only the distinct ones).

The product of its digits is 113246208, while the sum is 63.

The spelling of 248483846268 in words is "two hundred forty-eight billion, four hundred eighty-three million, eight hundred forty-six thousand, two hundred sixty-eight".