13837924512 has 72 divisors (see below), whose sum is σ = 39411852480. Its totient is φ = 4605578880.

The previous prime is 13837924511. The next prime is 13837924531. The reversal of 13837924512 is 21542973831.

It is a happy number.

13837924512 is a `hidden beast` number, since 1 + 38 + 379 + 245 + 1 + 2 = 666.

13837924512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13837924511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153337 + ... + 226247.

It is an arithmetic number, because the mean of its divisors is an integer number (547386840).

Almost surely, 2^13837924512 is an apocalyptic number.

13837924512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13837924512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19705926240).

13837924512 is an abundant number, since it is smaller than the sum of its proper divisors (25573927968).

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

13837924512 is a wasteful number, since it uses less digits than its factorization.

13837924512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73586 (or 73575 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 13837924512 in words is "thirteen billion, eight hundred thirty-seven million, nine hundred twenty-four thousand, five hundred twelve".