248896338880 has 168 divisors, whose sum is σ = 692206963056. Its totient is φ = 84994560000.

The previous prime is 248896338869. The next prime is 248896338881. The reversal of 248896338880 is 88833698842.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248896338881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3904060 + ... + 3967300.

It is an arithmetic number, because the mean of its divisors is an integer number (4120279542).

Almost surely, 2^248896338880 is an apocalyptic number.

248896338880 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 248896338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346103481528).

248896338880 is an abundant number, since it is smaller than the sum of its proper divisors (443310624176).

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

248896338880 is a wasteful number, since it uses less digits than its factorization.

248896338880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63523 (or 63506 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 67.

The spelling of 248896338880 in words is "two hundred forty-eight billion, eight hundred ninety-six million, three hundred thirty-eight thousand, eight hundred eighty".