245956568004 has 216 divisors, whose sum is σ = 769080764088. Its totient is φ = 65853849600.

The previous prime is 245956567993. The next prime is 245956568017. The reversal of 245956568004 is 400865659542.

245956568004 is a `hidden beast` number, since 24 + 5 + 9 + 56 + 568 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40964950404 + 204991617600 = 202398^2 + 452760^2 .

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 71 ways as a sum of consecutive naturals, for example, 6969604 + ... + 7004804.

It is an arithmetic number, because the mean of its divisors is an integer number (3560559093).

Almost surely, 2^245956568004 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 245956568004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384540382044).

245956568004 is an abundant number, since it is smaller than the sum of its proper divisors (523124196084).

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

245956568004 is a wasteful number, since it uses less digits than its factorization.

245956568004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35475 (or 35463 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 245956568004 in words is "two hundred forty-five billion, nine hundred fifty-six million, five hundred sixty-eight thousand, four".