248864000000 has 672 divisors, whose sum is σ = 783158725440. Its totient is φ = 76800000000.

The previous prime is 248863999973. The next prime is 248864000027. The reversal of 248864000000 is 468842.

It is an interprime number because it is at equal distance from previous prime (248863999973) and next prime (248864000027).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 2463999950 + ... + 2464000050.

It is an arithmetic number, because the mean of its divisors is an integer number (1165414770).

Almost surely, 2^248864000000 is an apocalyptic number.

248864000000 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 248864000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391579362720).

248864000000 is an abundant number, since it is smaller than the sum of its proper divisors (534294725440).

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

248864000000 is an frugal number, since it uses more digits than its factorization.

248864000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 248864000000 its reverse (468842), we get a palindrome (248864468842).

The spelling of 248864000000 in words is "two hundred forty-eight billion, eight hundred sixty-four million", and thus it is an aban number.