248753248320 has 56 divisors (see below), whose sum is σ = 789791566464. Its totient is φ = 66334199296.

The previous prime is 248753248307. The next prime is 248753248321. The reversal of 248753248320 is 23842357842.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 248753248320.

It is not an unprimeable number, because it can be changed into a prime (248753248321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129558024 + ... + 129559943.

Almost surely, 2^248753248320 is an apocalyptic number.

248753248320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248753248320 is an abundant number, since it is smaller than the sum of its proper divisors (541038318144).

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

248753248320 is a wasteful number, since it uses less digits than its factorization.

248753248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259117987 (or 259117977 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 48.

The spelling of 248753248320 in words is "two hundred forty-eight billion, seven hundred fifty-three million, two hundred forty-eight thousand, three hundred twenty".