13936427424192 has 896 divisors, whose sum is σ = 46896869376000. Its totient is φ = 3629245132800.

The previous prime is 13936427424133. The next prime is 13936427424193. The reversal of 13936427424192 is 29142472463931.

13936427424192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13936427424193) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32335098217 + ... + 32335098647.

It is an arithmetic number, because the mean of its divisors is an integer number (52340256000).

Almost surely, 2^{13936427424192} is an apocalyptic number.

13936427424192 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 13936427424192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23448434688000).

13936427424192 is an abundant number, since it is smaller than the sum of its proper divisors (32960441951808).

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

13936427424192 is a wasteful number, since it uses less digits than its factorization.

13936427424192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 846 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 57.

The spelling of 13936427424192 in words is "thirteen trillion, nine hundred thirty-six billion, four hundred twenty-seven million, four hundred twenty-four thousand, one hundred ninety-two".