245323312204400 has 240 divisors, whose sum is σ = 617560657302528. Its totient is φ = 93534642432000.

The previous prime is 245323312204367. The next prime is 245323312204409. The reversal of 245323312204400 is 4402213323542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245323312204409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9405473759 + ... + 9405499841.

Almost surely, 2^{245323312204400} is an apocalyptic number.

245323312204400 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 245323312204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308780328651264).

245323312204400 is an abundant number, since it is smaller than the sum of its proper divisors (372237345098128).

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

245323312204400 is a wasteful number, since it uses less digits than its factorization.

245323312204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37520 (or 37509 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 245323312204400 its reverse (4402213323542), we get a palindrome (249725525527942).

The spelling of 245323312204400 in words is "two hundred forty-five trillion, three hundred twenty-three billion, three hundred twelve million, two hundred four thousand, four hundred".