13929183908640 has 6912 divisors, whose sum is σ = 74492761190400. Its totient is φ = 2421065687040.

The previous prime is 13929183908581. The next prime is 13929183908641. The reversal of 13929183908640 is 4680938192931.

13929183908640 is a `hidden beast` number, since 1 + 392 + 9 + 1 + 83 + 90 + 86 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13929183908641) 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 1151 ways as a sum of consecutive naturals, for example, 605616691669 + ... + 605616691691.

It is an arithmetic number, because the mean of its divisors is an integer number (10777309200).

Almost surely, 2^{13929183908640} is an apocalyptic number.

13929183908640 is a gapful number since it is divisible by the number (10) 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 13929183908640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37246380595200).

13929183908640 is an abundant number, since it is smaller than the sum of its proper divisors (60563577281760).

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

13929183908640 is a wasteful number, since it uses less digits than its factorization.

13929183908640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 13929183908640 in words is "thirteen trillion, nine hundred twenty-nine billion, one hundred eighty-three million, nine hundred eight thousand, six hundred forty".