245152323000 has 384 divisors, whose sum is σ = 904610004480. Its totient is φ = 59516467200.

The previous prime is 245152322993. The next prime is 245152323137. The reversal of 245152323000 is 323251542.

It is a happy number.

245152323000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×245152323000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8526649 + ... + 8555351.

It is an arithmetic number, because the mean of its divisors is an integer number (2355755220).

Almost surely, 2^245152323000 is an apocalyptic number.

245152323000 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 245152323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452305002240).

245152323000 is an abundant number, since it is smaller than the sum of its proper divisors (659457681480).

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

245152323000 is a wasteful number, since it uses less digits than its factorization.

245152323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28816 (or 28799 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 245152323000 its reverse (323251542), we get a palindrome (245475574542).

The spelling of 245152323000 in words is "two hundred forty-five billion, one hundred fifty-two million, three hundred twenty-three thousand".