20768806448313 has 256 divisors, whose sum is σ = 38033224704000. Its totient is φ = 9754020864000.

The previous prime is 20768806448311. The next prime is 20768806448339. The reversal of 20768806448313 is 31384460886702.

It is a happy number.

20768806448313 is an astonishing number since 20768806448313 = 207688 + ... + 6448313.

It is not a de Polignac number, because 20768806448313 - 2¹ = 20768806448311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20768806448311) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10400002231 + ... + 10400004227.

It is an arithmetic number, because the mean of its divisors is an integer number (148567284000).

Almost surely, 2^{20768806448313} is an apocalyptic number.

It is an amenable number.

20768806448313 is a deficient number, since it is larger than the sum of its proper divisors (17264418255687).

20768806448313 is a wasteful number, since it uses less digits than its factorization.

20768806448313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2976.

The product of its (nonzero) digits is 37158912, while the sum is 60.

The spelling of 20768806448313 in words is "twenty trillion, seven hundred sixty-eight billion, eight hundred six million, four hundred forty-eight thousand, three hundred thirteen".