248741425152 has 364 divisors, whose sum is σ = 813698723544. Its totient is φ = 75366236160.

The previous prime is 248741425151. The next prime is 248741425157. The reversal of 248741425152 is 251524147842.

248741425152 is a `hidden beast` number, since 2 + 4 + 8 + 74 + 1 + 425 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 248741425098 and 248741425107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248741425151) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 32842038 + ... + 32849610.

Almost surely, 2^248741425152 is an apocalyptic number.

248741425152 is a gapful number since it is divisible by the number (22) 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 248741425152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406849361772).

248741425152 is an abundant number, since it is smaller than the sum of its proper divisors (564957298392).

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

248741425152 is an frugal number, since it uses more digits than its factorization.

248741425152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7626 (or 7589 counting only the distinct ones).

The product of its digits is 716800, while the sum is 45.

The spelling of 248741425152 in words is "two hundred forty-eight billion, seven hundred forty-one million, four hundred twenty-five thousand, one hundred fifty-two".