245393817600 has 384 divisors, whose sum is σ = 837858159360. Its totient is φ = 63307776000.

The previous prime is 245393817593. The next prime is 245393817601. The reversal of 245393817600 is 6718393542.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 245393817600.

It is not an unprimeable number, because it can be changed into a prime (245393817601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76183990 + ... + 76187210.

It is an arithmetic number, because the mean of its divisors is an integer number (2181922290).

It is a 1-persistent number, because it is pandigital, but 2⋅245393817600 = 490787635200 is not.

Almost surely, 2^245393817600 is an apocalyptic number.

245393817600 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 245393817600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418929079680).

245393817600 is an abundant number, since it is smaller than the sum of its proper divisors (592464341760).

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

245393817600 is an equidigital number, since it uses as much as digits as its factorization.

245393817600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 245393817600 in words is "two hundred forty-five billion, three hundred ninety-three million, eight hundred seventeen thousand, six hundred".