245253432424000 has 896 divisors, whose sum is σ = 815805093003264. Its totient is φ = 70535162880000.

The previous prime is 245253432423991. The next prime is 245253432424031. The reversal of 245253432424000 is 424234352542.

It is a super-3 number, since 3×245253432424000³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30614579995 + ... + 30614588005.

It is an arithmetic number, because the mean of its divisors is an integer number (910496755584).

Almost surely, 2^{245253432424000} is an apocalyptic number.

245253432424000 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 245253432424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407902546501632).

245253432424000 is an abundant number, since it is smaller than the sum of its proper divisors (570551660579264).

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

245253432424000 is a wasteful number, since it uses less digits than its factorization.

245253432424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11892 (or 11872 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 40.

Adding to 245253432424000 its reverse (424234352542), we get a palindrome (245677666776542).

The spelling of 245253432424000 in words is "two hundred forty-five trillion, two hundred fifty-three billion, four hundred thirty-two million, four hundred twenty-four thousand".