245552505142200 has 192 divisors, whose sum is σ = 786627430300800. Its totient is φ = 63324614976000.

The previous prime is 245552505142183. The next prime is 245552505142229. The reversal of 245552505142200 is 2241505255542.

It is a super-2 number, since 2×245552505142200² (a number of 30 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 (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44510730 + ... + 49722329.

It is an arithmetic number, because the mean of its divisors is an integer number (4097017866150).

Almost surely, 2^{245552505142200} is an apocalyptic number.

245552505142200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245552505142200 is an abundant number, since it is smaller than the sum of its proper divisors (541074925158600).

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

245552505142200 is a wasteful number, since it uses less digits than its factorization.

245552505142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94233222 (or 94233213 counting only the distinct ones).

The product of its (nonzero) digits is 800000, while the sum is 42.

The spelling of 245552505142200 in words is "two hundred forty-five trillion, five hundred fifty-two billion, five hundred five million, one hundred forty-two thousand, two hundred".