13937640192 has 504 divisors, whose sum is σ = 48899805696. Its totient is φ = 3880286208.

The previous prime is 13937640139. The next prime is 13937640193. The reversal of 13937640192 is 29104673931.

13937640192 is a `hidden beast` number, since 1 + 3 + 93 + 76 + 401 + 92 = 666.

13937640192 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 (504).

It is not an unprimeable number, because it can be changed into a prime (13937640193) 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 55 ways as a sum of consecutive naturals, for example, 61399183 + ... + 61399409.

It is an arithmetic number, because the mean of its divisors is an integer number (97023424).

Almost surely, 2^13937640192 is an apocalyptic number.

13937640192 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 13937640192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24449902848).

13937640192 is an abundant number, since it is smaller than the sum of its proper divisors (34962165504).

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

13937640192 is an frugal number, since it uses more digits than its factorization.

13937640192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 13937640192 in words is "thirteen billion, nine hundred thirty-seven million, six hundred forty thousand, one hundred ninety-two".