248723288000 has 224 divisors, whose sum is σ = 701181232128. Its totient is φ = 86511744000.

The previous prime is 248723287993. The next prime is 248723288041. The reversal of 248723288000 is 882327842.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1962557 + ... + 2085443.

Almost surely, 2^248723288000 is an apocalyptic number.

248723288000 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 248723288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350590616064).

248723288000 is an abundant number, since it is smaller than the sum of its proper divisors (452457944128).

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

248723288000 is a wasteful number, since it uses less digits than its factorization.

248723288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122948 (or 122928 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 44.

The spelling of 248723288000 in words is "two hundred forty-eight billion, seven hundred twenty-three million, two hundred eighty-eight thousand".