248127909120 has 2430 divisors, whose sum is σ = 1188014774562. Its totient is φ = 49272717312.

The previous prime is 248127909059. The next prime is 248127909151. The reversal of 248127909120 is 21909721842.

It can be written as a sum of positive squares in 9 ways, for example, as 69746697216 + 178381211904 = 264096^2 + 422352^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 14595759352 + ... + 14595759368.

Almost surely, 2^248127909120 is an apocalyptic number.

248127909120 is a gapful number since it is divisible by the number (20) 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 248127909120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594007387281).

248127909120 is an abundant number, since it is smaller than the sum of its proper divisors (939886865442).

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

248127909120 is a wasteful number, since it uses less digits than its factorization.

248127909120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

Multiplying 248127909120 by its sum of digits (45), we get a square (11165755910400 = 3341520²).

248127909120 divided by its sum of digits (45) gives a square (5513953536 = 74256²).

The spelling of 248127909120 in words is "two hundred forty-eight billion, one hundred twenty-seven million, nine hundred nine thousand, one hundred twenty".