248474474496 has 288 divisors, whose sum is σ = 734287816080. Its totient is φ = 80917364736.

The previous prime is 248474474491. The next prime is 248474474513. The reversal of 248474474496 is 694474474842.

It is a happy number.

248474474496 is a `hidden beast` number, since 2 + 4 + 8 + 4 + 74 + 4 + 74 + 496 = 666.

248474474496 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 (288).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248474474491) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 338982546 + ... + 338983278.

Almost surely, 2^248474474496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248474474496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367143908040).

248474474496 is an abundant number, since it is smaller than the sum of its proper divisors (485813341584).

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

248474474496 is a wasteful number, since it uses less digits than its factorization.

248474474496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1138 counting only the distinct ones).

The product of its digits is 173408256, while the sum is 63.

The spelling of 248474474496 in words is "two hundred forty-eight billion, four hundred seventy-four million, four hundred seventy-four thousand, four hundred ninety-six".