238723638513 has 32 divisors (see below), whose sum is σ = 350201026560. Its totient is φ = 143977046400.

The previous prime is 238723638469. The next prime is 238723638539. The reversal of 238723638513 is 315836327832.

238723638513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 238723638513 - 2¹² = 238723634417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (238723638913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 636420 + ... + 939402.

It is an arithmetic number, because the mean of its divisors is an integer number (10943782080).

Almost surely, 2^238723638513 is an apocalyptic number.

238723638513 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

238723638513 is a deficient number, since it is larger than the sum of its proper divisors (111477388047).

238723638513 is a wasteful number, since it uses less digits than its factorization.

238723638513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303629.

The product of its digits is 4354560, while the sum is 51.

The spelling of 238723638513 in words is "two hundred thirty-eight billion, seven hundred twenty-three million, six hundred thirty-eight thousand, five hundred thirteen".