13849418880 has 640 divisors, whose sum is σ = 54650376000. Its totient is φ = 3314442240.

The previous prime is 13849418879. The next prime is 13849418897. The reversal of 13849418880 is 8881494831.

13849418880 is a `hidden beast` number, since 1 + 384 + 9 + 4 + 188 + 80 = 666.

13849418880 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 (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 84965679 + ... + 84965841.

Almost surely, 2^13849418880 is an apocalyptic number.

13849418880 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 13849418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27325188000).

13849418880 is an abundant number, since it is smaller than the sum of its proper divisors (40800957120).

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

13849418880 is a wasteful number, since it uses less digits than its factorization.

13849418880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 13849418880 in words is "thirteen billion, eight hundred forty-nine million, four hundred eighteen thousand, eight hundred eighty".