248957404848 has 200 divisors, whose sum is σ = 729087991632. Its totient is φ = 82005737472.

The previous prime is 248957404841. The next prime is 248957404853. The reversal of 248957404848 is 848404759842.

248957404848 is a `hidden beast` number, since 2 + 4 + 89 + 5 + 74 + 0 + 484 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (248957404841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122819611 + ... + 122821637.

Almost surely, 2^248957404848 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 248957404848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364543995816).

248957404848 is an abundant number, since it is smaller than the sum of its proper divisors (480130586784).

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

248957404848 is a wasteful number, since it uses less digits than its factorization.

248957404848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3121 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 248957404848 in words is "two hundred forty-eight billion, nine hundred fifty-seven million, four hundred four thousand, eight hundred forty-eight".