13834367712 has 144 divisors (see below), whose sum is σ = 45442745712. Its totient is φ = 3945615360.

The previous prime is 13834367711. The next prime is 13834367717. The reversal of 13834367712 is 21776343831.

13834367712 is a `hidden beast` number, since 138 + 3 + 436 + 77 + 12 = 666.

13834367712 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 (144).

It is a super-2 number, since 2×13834367712² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13834367711) 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 23 ways as a sum of consecutive naturals, for example, 74583 + ... + 182294.

It is an arithmetic number, because the mean of its divisors is an integer number (315574623).

Almost surely, 2^13834367712 is an apocalyptic number.

13834367712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13834367712 is an abundant number, since it is smaller than the sum of its proper divisors (31608378000).

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

13834367712 is a wasteful number, since it uses less digits than its factorization.

13834367712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256921 (or 256910 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The spelling of 13834367712 in words is "thirteen billion, eight hundred thirty-four million, three hundred sixty-seven thousand, seven hundred twelve".