245072248092288 has 512 divisors, whose sum is σ = 783598880736000. Its totient is φ = 75123333660672.

The previous prime is 245072248092283. The next prime is 245072248092323. The reversal of 245072248092288 is 882290842270542.

245072248092288 is a `hidden beast` number, since 2 + 4 + 5 + 0 + 72 + 2 + 480 + 9 + 2 + 2 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (245072248092283) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 458644858 + ... + 459178886.

Almost surely, 2^{245072248092288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245072248092288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391799440368000).

245072248092288 is an abundant number, since it is smaller than the sum of its proper divisors (538526632643712).

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

245072248092288 is a wasteful number, since it uses less digits than its factorization.

245072248092288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534249 (or 534231 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 245072248092288 in words is "two hundred forty-five trillion, seventy-two billion, two hundred forty-eight million, ninety-two thousand, two hundred eighty-eight".