248545566720 has 448 divisors, whose sum is σ = 964043873280. Its totient is φ = 60250521600.

The previous prime is 248545566719. The next prime is 248545566727. The reversal of 248545566720 is 27665545842.

248545566720 is a `hidden beast` number, since 2 + 4 + 8 + 5 + 4 + 5 + 566 + 72 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248545566727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12154905 + ... + 12175335.

Almost surely, 2^248545566720 is an apocalyptic number.

248545566720 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 248545566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482021936640).

248545566720 is an abundant number, since it is smaller than the sum of its proper divisors (715498306560).

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

248545566720 is a wasteful number, since it uses less digits than its factorization.

248545566720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20482 (or 20452 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 248545566720 in words is "two hundred forty-eight billion, five hundred forty-five million, five hundred sixty-six thousand, seven hundred twenty".