248890320000 has 1920 divisors, whose sum is σ = 1113483571200. Its totient is φ = 54120960000.

The previous prime is 248890319989. The next prime is 248890320001. The reversal of 248890320000 is 23098842.

248890320000 is a `hidden beast` number, since 248 + 8 + 90 + 320 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (248890320001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4218479971 + ... + 4218480029.

It is an arithmetic number, because the mean of its divisors is an integer number (579939360).

Almost surely, 2^248890320000 is an apocalyptic number.

248890320000 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 248890320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556741785600).

248890320000 is an abundant number, since it is smaller than the sum of its proper divisors (864593251200).

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

248890320000 is an frugal number, since it uses more digits than its factorization.

248890320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 248890320000 in words is "two hundred forty-eight billion, eight hundred ninety million, three hundred twenty thousand".