13724917938 has 64 divisors (see below), whose sum is σ = 33993648000. Its totient is φ = 4079227392.

The previous prime is 13724917937. The next prime is 13724917967. The reversal of 13724917938 is 83971942731.

13724917938 is a `hidden beast` number, since 13 + 72 + 491 + 79 + 3 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13724917933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376003 + ... + 410886.

It is an arithmetic number, because the mean of its divisors is an integer number (531150750).

Almost surely, 2^13724917938 is an apocalyptic number.

13724917938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13724917938 is an abundant number, since it is smaller than the sum of its proper divisors (20268730062).

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

13724917938 is a wasteful number, since it uses less digits than its factorization.

13724917938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786936 (or 786930 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The spelling of 13724917938 in words is "thirteen billion, seven hundred twenty-four million, nine hundred seventeen thousand, nine hundred thirty-eight".