245732712146496 has 567 divisors, whose sum is σ = 734931274839489. Its totient is φ = 78500713890816.

The previous prime is 245732712146269. The next prime is 245732712146521. The reversal of 245732712146496 is 694641217237542.

The square root of 245732712146496 is 15675864.

It is a perfect power (a square), and thus also a powerful number.

245732712146496 is a `hidden beast` number, since 2 + 4 + 5 + 7 + 3 + 271 + 214 + 64 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 219885005390400 + 25847706756096 = 14828520^2 + 5084064^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1767861238395 + ... + 1767861238533.

Almost surely, 2^{245732712146496} is an apocalyptic number.

245732712146496 is the 15675864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245732712146496

245732712146496 is an abundant number, since it is smaller than the sum of its proper divisors (489198562692993).

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

245732712146496 is an equidigital number, since it uses as much as digits as its factorization.

245732712146496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 308 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 245732712146496 in words is "two hundred forty-five trillion, seven hundred thirty-two billion, seven hundred twelve million, one hundred forty-six thousand, four hundred ninety-six".