245741605200 has 1080 divisors, whose sum is σ = 1079926802136. Its totient is φ = 51287040000.

The previous prime is 245741605171. The next prime is 245741605229. The reversal of 245741605200 is 2506147542.

It is a happy number.

245741605200 is a `hidden beast` number, since 2 + 4 + 5 + 7 + 41 + 605 + 2 + 0 + 0 = 666.

245741605200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (245741605171) and next prime (245741605229).

It can be written as a sum of positive squares in 12 ways, for example, as 29884728384 + 215856876816 = 172872^2 + 464604^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 215 ways as a sum of consecutive naturals, for example, 231612670 + ... + 231613730.

Almost surely, 2^245741605200 is an apocalyptic number.

245741605200 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 245741605200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539963401068).

245741605200 is an abundant number, since it is smaller than the sum of its proper divisors (834185196936).

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

245741605200 is a wasteful number, since it uses less digits than its factorization.

245741605200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 245741605200 in words is "two hundred forty-five billion, seven hundred forty-one million, six hundred five thousand, two hundred".