248478891840 has 896 divisors, whose sum is σ = 950156697600. Its totient is φ = 61733726208.

The previous prime is 248478891823. The next prime is 248478891889. The reversal of 248478891840 is 48198874842.

248478891840 is a `hidden beast` number, since 2 + 4 + 8 + 478 + 89 + 1 + 84 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 692141581 + ... + 692141939.

Almost surely, 2^248478891840 is an apocalyptic number.

248478891840 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 248478891840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475078348800).

248478891840 is an abundant number, since it is smaller than the sum of its proper divisors (701677805760).

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

248478891840 is an equidigital number, since it uses as much as digits as its factorization.

248478891840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 248478891840 in words is "two hundred forty-eight billion, four hundred seventy-eight million, eight hundred ninety-one thousand, eight hundred forty".