13849837413984 has 288 divisors, whose sum is σ = 46287975805344. Its totient is φ = 3872663101440.

The previous prime is 13849837413983. The next prime is 13849837414013. The reversal of 13849837413984 is 48931473894831.

13849837413984 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 98 + 37 + 413 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13849837413983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115131532 + ... + 115251764.

It is an arithmetic number, because the mean of its divisors is an integer number (160722138213).

Almost surely, 2^{13849837413984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13849837413984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23143987902672).

13849837413984 is an abundant number, since it is smaller than the sum of its proper divisors (32438138391360).

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

13849837413984 is a wasteful number, since it uses less digits than its factorization.

13849837413984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123070 (or 123059 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 72.

The spelling of 13849837413984 in words is "thirteen trillion, eight hundred forty-nine billion, eight hundred thirty-seven million, four hundred thirteen thousand, nine hundred eighty-four".