248043264000 has 1536 divisors, whose sum is σ = 1025382758400. Its totient is φ = 52022476800.

The previous prime is 248043263999. The next prime is 248043264041. The reversal of 248043264000 is 462340842.

248043264000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5768447979 + ... + 5768448021.

It is an arithmetic number, because the mean of its divisors is an integer number (667566900).

Almost surely, 2^248043264000 is an apocalyptic number.

248043264000 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 248043264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512691379200).

248043264000 is an abundant number, since it is smaller than the sum of its proper divisors (777339494400).

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

248043264000 is a wasteful number, since it uses less digits than its factorization.

248043264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 248043264000 in words is "two hundred forty-eight billion, forty-three million, two hundred sixty-four thousand".