245145314000 has 320 divisors, whose sum is σ = 621035251200. Its totient is φ = 93519360000.

The previous prime is 245145313951. The next prime is 245145314017. The reversal of 245145314000 is 413541542.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1231885901 + ... + 1231886099.

It is an arithmetic number, because the mean of its divisors is an integer number (1940735160).

Almost surely, 2^245145314000 is an apocalyptic number.

245145314000 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 245145314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310517625600).

245145314000 is an abundant number, since it is smaller than the sum of its proper divisors (375889937200).

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

245145314000 is a wasteful number, since it uses less digits than its factorization.

245145314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 245145314000 its reverse (413541542), we get a palindrome (245558855542).

The spelling of 245145314000 in words is "two hundred forty-five billion, one hundred forty-five million, three hundred fourteen thousand".