248567242752000 has 3264 divisors, whose sum is σ = 996731160122880. Its totient is φ = 61662560256000.

The previous prime is 248567242751981. The next prime is 248567242752007. The reversal of 248567242752000 is 257242765842.

248567242752000 is a `hidden beast` number, since 2 + 4 + 8 + 5 + 6 + 7 + 2 + 427 + 5 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248567242752007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2792890367956 + ... + 2792890368044.

Almost surely, 2^{248567242752000} is an apocalyptic number.

248567242752000 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 248567242752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498365580061440).

248567242752000 is an abundant number, since it is smaller than the sum of its proper divisors (748163917370880).

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

248567242752000 is an frugal number, since it uses more digits than its factorization.

248567242752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 54.

The spelling of 248567242752000 in words is "two hundred forty-eight trillion, five hundred sixty-seven billion, two hundred forty-two million, seven hundred fifty-two thousand".