13936942119744 has 280 divisors, whose sum is σ = 47498133217920. Its totient is φ = 3958137529344.

The previous prime is 13936942119697. The next prime is 13936942119799. The reversal of 13936942119744 is 44791124963931.

13936942119744 is a `hidden beast` number, since 1 + 3 + 9 + 369 + 42 + 1 + 197 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4910202 + ... + 7209990.

It is an arithmetic number, because the mean of its divisors is an integer number (169636190064).

Almost surely, 2^{13936942119744} is an apocalyptic number.

13936942119744 is a gapful number since it is divisible by the number (14) 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 13936942119744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23749066608960).

13936942119744 is an abundant number, since it is smaller than the sum of its proper divisors (33561191098176).

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

13936942119744 is a wasteful number, since it uses less digits than its factorization.

13936942119744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299987 (or 2299968 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 13936942119744 in words is "thirteen trillion, nine hundred thirty-six billion, nine hundred forty-two million, one hundred nineteen thousand, seven hundred forty-four".