248832000000 has 714 divisors, whose sum is σ = 931820963164. Its totient is φ = 66355200000.

The previous prime is 248831999987. The next prime is 248832000017. The reversal of 248832000000 is 238842.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 49766399998 + ... + 49766400002.

Almost surely, 2^248832000000 is an apocalyptic number.

248832000000 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 248832000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465910481582).

248832000000 is an abundant number, since it is smaller than the sum of its proper divisors (682988963164).

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

248832000000 is an frugal number, since it uses more digits than its factorization.

248832000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Multiplying 248832000000 by its sum of digits (27), we get a square (6718464000000 = 2592000²).

248832000000 divided by its sum of digits (27) gives a square (9216000000 = 96000²).

Multiplying 248832000000 by its product of nonzero digits (3072), we get a square (764411904000000 = 27648000²).

248832000000 divided by its product of nonzero digits (3072) gives a square (81000000 = 9000²).

Adding to 248832000000 its reverse (238842), we get a palindrome (248832238842).

The spelling of 248832000000 in words is "two hundred forty-eight billion, eight hundred thirty-two million", and thus it is an aban number.