248948380800 has 1440 divisors, whose sum is σ = 1132505746020. Its totient is φ = 53508833280.

The previous prime is 248948380781. The next prime is 248948380801. The reversal of 248948380800 is 8083849842.

248948380800 is a `hidden beast` number, since 2 + 4 + 8 + 9 + 483 + 80 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 163791802944 + 85156577856 = 404712^2 + 291816^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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 (248948380801) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 215913024 + ... + 215914176.

Almost surely, 2^248948380800 is an apocalyptic number.

248948380800 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 248948380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566252873010).

248948380800 is an abundant number, since it is smaller than the sum of its proper divisors (883557365220).

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

248948380800 is a wasteful number, since it uses less digits than its factorization.

248948380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 248948380800 in words is "two hundred forty-eight billion, nine hundred forty-eight million, three hundred eighty thousand, eight hundred".