248807490048 has 560 divisors, whose sum is σ = 820517233536. Its totient is φ = 74858618880.

The previous prime is 248807490017. The next prime is 248807490059. The reversal of 248807490048 is 840094708842.

248807490048 is a `hidden beast` number, since 2 + 488 + 0 + 74 + 90 + 0 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 248807489976 and 248807490003.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 228053983 + ... + 228055073.

Almost surely, 2^248807490048 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 248807490048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410258616768).

248807490048 is an abundant number, since it is smaller than the sum of its proper divisors (571709743488).

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

248807490048 is an equidigital number, since it uses as much as digits as its factorization.

248807490048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 248807490048 in words is "two hundred forty-eight billion, eight hundred seven million, four hundred ninety thousand, forty-eight".