245120432004 has 144 divisors (see below), whose sum is σ = 722918851200. Its totient is φ = 70001305920.

The previous prime is 245120432003. The next prime is 245120432059. The reversal of 245120432004 is 400234021542.

245120432004 is a `hidden beast` number, since 2 + 451 + 2 + 0 + 4 + 3 + 200 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (245120432003) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 39769827 + ... + 39775989.

It is an arithmetic number, because the mean of its divisors is an integer number (5020269800).

Almost surely, 2^245120432004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245120432004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361459425600).

245120432004 is an abundant number, since it is smaller than the sum of its proper divisors (477798419196).

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

245120432004 is a wasteful number, since it uses less digits than its factorization.

245120432004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9415 (or 9396 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 245120432004 its reverse (400234021542), we get a palindrome (645354453546).

The spelling of 245120432004 in words is "two hundred forty-five billion, one hundred twenty million, four hundred thirty-two thousand, four".