248023296000 has 768 divisors, whose sum is σ = 930326342400. Its totient is φ = 65990246400.

The previous prime is 248023295929. The next prime is 248023296029. The reversal of 248023296000 is 692320842.

248023296000 is a `hidden beast` number, since 2 + 4 + 8 + 0 + 23 + 29 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 559871779 + ... + 559872221.

It is an arithmetic number, because the mean of its divisors is an integer number (1211362425).

Almost surely, 2^248023296000 is an apocalyptic number.

248023296000 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 248023296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465163171200).

248023296000 is an abundant number, since it is smaller than the sum of its proper divisors (682303046400).

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

248023296000 is an frugal number, since it uses more digits than its factorization.

248023296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 248023296000 in words is "two hundred forty-eight billion, twenty-three million, two hundred ninety-six thousand".