245785561128 has 384 divisors, whose sum is σ = 747199365120. Its totient is φ = 72626595840.

The previous prime is 245785561127. The next prime is 245785561141. The reversal of 245785561128 is 821165587542.

245785561128 is a `hidden beast` number, since 2 + 4 + 5 + 78 + 5 + 561 + 1 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (245785561123) 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 95 ways as a sum of consecutive naturals, for example, 504692901 + ... + 504693387.

It is an arithmetic number, because the mean of its divisors is an integer number (1945831680).

Almost surely, 2^245785561128 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 245785561128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373599682560).

245785561128 is an abundant number, since it is smaller than the sum of its proper divisors (501413803992).

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

245785561128 is a wasteful number, since it uses less digits than its factorization.

245785561128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 870 counting only the distinct ones).

The product of its digits is 5376000, while the sum is 54.

The spelling of 245785561128 in words is "two hundred forty-five billion, seven hundred eighty-five million, five hundred sixty-one thousand, one hundred twenty-eight".