13818659871744 has 1056 divisors, whose sum is σ = 50800930237440. Its totient is φ = 3633276321792.

The previous prime is 13818659871727. The next prime is 13818659871761. The reversal of 13818659871744 is 44717895681831.

13818659871744 is a `hidden beast` number, since 1 + 3 + 8 + 18 + 6 + 598 + 7 + 17 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13818659871727) and next prime (13818659871761).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21161806522 + ... + 21161807174.

Almost surely, 2^{13818659871744} is an apocalyptic number.

13818659871744 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 13818659871744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25400465118720).

13818659871744 is an abundant number, since it is smaller than the sum of its proper divisors (36982270365696).

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

13818659871744 is a wasteful number, since it uses less digits than its factorization.

13818659871744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1325 counting only the distinct ones).

The product of its digits is 325140480, while the sum is 72.

The spelling of 13818659871744 in words is "thirteen trillion, eight hundred eighteen billion, six hundred fifty-nine million, eight hundred seventy-one thousand, seven hundred forty-four".