13849161120 has 288 divisors, whose sum is σ = 51019113600. Its totient is φ = 3410491392.

The previous prime is 13849161119. The next prime is 13849161133. The reversal of 13849161120 is 2116194831.

13849161120 is a `hidden beast` number, since 1 + 38 + 4 + 9 + 1 + 611 + 2 + 0 = 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 953271 + ... + 967689.

It is an arithmetic number, because the mean of its divisors is an integer number (177149700).

Almost surely, 2^13849161120 is an apocalyptic number.

13849161120 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 13849161120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25509556800).

13849161120 is an abundant number, since it is smaller than the sum of its proper divisors (37169952480).

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

13849161120 is a wasteful number, since it uses less digits than its factorization.

13849161120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14492 (or 14481 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 13849161120 in words is "thirteen billion, eight hundred forty-nine million, one hundred sixty-one thousand, one hundred twenty".