245632584960 has 216 divisors, whose sum is σ = 971272498560. Its totient is φ = 56144572416.

The previous prime is 245632584959. The next prime is 245632585073. The reversal of 245632584960 is 69485236542.

245632584960 is a `hidden beast` number, since 2 + 4 + 56 + 3 + 2 + 584 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 245632584897 and 245632584906.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1442380 + ... + 1603659.

Almost surely, 2^245632584960 is an apocalyptic number.

245632584960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245632584960 is an abundant number, since it is smaller than the sum of its proper divisors (725639913600).

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

245632584960 is a wasteful number, since it uses less digits than its factorization.

245632584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046073 (or 3046056 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 245632584960 in words is "two hundred forty-five billion, six hundred thirty-two million, five hundred eighty-four thousand, nine hundred sixty".