248250483936 has 768 divisors, whose sum is σ = 945684633600. Its totient is φ = 61523214336.

The previous prime is 248250483907. The next prime is 248250483941. The reversal of 248250483936 is 639384052842.

248250483936 is a `hidden beast` number, since 2 + 4 + 82 + 50 + 483 + 9 + 36 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 204657666 + ... + 204658878.

It is an arithmetic number, because the mean of its divisors is an integer number (1231360200).

Almost surely, 2^248250483936 is an apocalyptic number.

248250483936 is a gapful number since it is divisible by the number (26) 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 248250483936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472842316800).

248250483936 is an abundant number, since it is smaller than the sum of its proper divisors (697434149664).

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

248250483936 is a wasteful number, since it uses less digits than its factorization.

248250483936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 248250483936 in words is "two hundred forty-eight billion, two hundred fifty million, four hundred eighty-three thousand, nine hundred thirty-six".