248313888000 has 864 divisors, whose sum is σ = 981922556160. Its totient is φ = 59974041600.

The previous prime is 248313887963. The next prime is 248313888001. The reversal of 248313888000 is 888313842.

248313888000 is a `hidden beast` number, since 2 + 483 + 13 + 88 + 80 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248313888001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125855014 + ... + 125856986.

It is an arithmetic number, because the mean of its divisors is an integer number (1136484440).

Almost surely, 2^248313888000 is an apocalyptic number.

248313888000 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 248313888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490961278080).

248313888000 is an abundant number, since it is smaller than the sum of its proper divisors (733608668160).

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

248313888000 is a wasteful number, since it uses less digits than its factorization.

248313888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 248313888000 in words is "two hundred forty-eight billion, three hundred thirteen million, eight hundred eighty-eight thousand".