245409091200 has 1728 divisors, whose sum is σ = 1134609076800. Its totient is φ = 51778621440.

The previous prime is 245409091163. The next prime is 245409091211. The reversal of 245409091200 is 2190904542.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

245409091200 is a `hidden beast` number, since 2 + 4 + 540 + 9 + 0 + 91 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 18877622394 + ... + 18877622406.

It is an arithmetic number, because the mean of its divisors is an integer number (656602475).

Almost surely, 2^245409091200 is an apocalyptic number.

245409091200 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 245409091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567304538400).

245409091200 is an abundant number, since it is smaller than the sum of its proper divisors (889199985600).

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

245409091200 is an frugal number, since it uses more digits than its factorization.

245409091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 245409091200 its reverse (2190904542), we get a palindrome (247599995742).

The spelling of 245409091200 in words is "two hundred forty-five billion, four hundred nine million, ninety-one thousand, two hundred".