338764782513 has 16 divisors (see below), whose sum is σ = 456384880640. Its totient is φ = 223496948304.

The previous prime is 338764782509. The next prime is 338764782553. The reversal of 338764782513 is 315287467833.

It is not a de Polignac number, because 338764782513 - 2² = 338764782509 is a prime.

It is a super-2 number, since 2×338764782513² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (338764782553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75120 + ... + 826542.

It is an arithmetic number, because the mean of its divisors is an integer number (28524055040).

Almost surely, 2^338764782513 is an apocalyptic number.

It is an amenable number.

338764782513 is a deficient number, since it is larger than the sum of its proper divisors (117620098127).

338764782513 is a wasteful number, since it uses less digits than its factorization.

338764782513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752988.

The product of its digits is 20321280, while the sum is 57.

The spelling of 338764782513 in words is "three hundred thirty-eight billion, seven hundred sixty-four million, seven hundred eighty-two thousand, five hundred thirteen".