248786944000 has 256 divisors, whose sum is σ = 709753487040. Its totient is φ = 85288550400.

The previous prime is 248786943997. The next prime is 248786944013. The reversal of 248786944000 is 449687842.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28667662 + ... + 28676338.

Almost surely, 2^248786944000 is an apocalyptic number.

248786944000 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 248786944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354876743520).

248786944000 is an abundant number, since it is smaller than the sum of its proper divisors (460966543040).

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

248786944000 is an frugal number, since it uses more digits than its factorization.

248786944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8729 (or 8691 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 52.

The spelling of 248786944000 in words is "two hundred forty-eight billion, seven hundred eighty-six million, nine hundred forty-four thousand".