248552485440 has 672 divisors, whose sum is σ = 984958030080. Its totient is φ = 51951255552.

The previous prime is 248552485439. The next prime is 248552485451. The reversal of 248552485440 is 44584255842.

248552485440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70349914 + ... + 70353446.

Almost surely, 2^248552485440 is an apocalyptic number.

248552485440 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 248552485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492479015040).

248552485440 is an abundant number, since it is smaller than the sum of its proper divisors (736405544640).

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

248552485440 is a wasteful number, since it uses less digits than its factorization.

248552485440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3627 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 8192000, while the sum is 51.

The spelling of 248552485440 in words is "two hundred forty-eight billion, five hundred fifty-two million, four hundred eighty-five thousand, four hundred forty".