245432544000 has 576 divisors, whose sum is σ = 956938924032. Its totient is φ = 54577152000.

The previous prime is 245432543981. The next prime is 245432544011. The reversal of 245432544000 is 445234542.

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, 24859065 + ... + 24868935.

Almost surely, 2^245432544000 is an apocalyptic number.

245432544000 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 245432544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478469462016).

245432544000 is an abundant number, since it is smaller than the sum of its proper divisors (711506380032).

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

245432544000 is an equidigital number, since it uses as much as digits as its factorization.

245432544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9949 (or 9925 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 33.

Adding to 245432544000 its reverse (445234542), we get a palindrome (245877778542).

The spelling of 245432544000 in words is "two hundred forty-five billion, four hundred thirty-two million, five hundred forty-four thousand".