13849814880 has 432 divisors, whose sum is σ = 52530699312. Its totient is φ = 3320064000.

The previous prime is 13849814879. The next prime is 13849814897. The reversal of 13849814880 is 8841894831.

13849814880 is a `hidden beast` number, since 1 + 3 + 8 + 498 + 148 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17597847 + ... + 17598633.

It is an arithmetic number, because the mean of its divisors is an integer number (121598841).

Almost surely, 2^13849814880 is an apocalyptic number.

13849814880 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 13849814880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26265349656).

13849814880 is an abundant number, since it is smaller than the sum of its proper divisors (38680884432).

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

13849814880 is a wasteful number, since it uses less digits than its factorization.

13849814880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 909 counting only the distinct ones).

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

The spelling of 13849814880 in words is "thirteen billion, eight hundred forty-nine million, eight hundred fourteen thousand, eight hundred eighty".