14048180100 has 216 divisors, whose sum is σ = 47847770880. Its totient is φ = 3434400000.

The previous prime is 14048180089. The next prime is 14048180207. The reversal of 14048180100 is 108184041.

14048180100 is a `hidden beast` number, since 1 + 4 + 0 + 481 + 80 + 100 = 666.

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, 516850 + ... + 543350.

Almost surely, 2^14048180100 is an apocalyptic number.

14048180100 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 14048180100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23923885440).

14048180100 is an abundant number, since it is smaller than the sum of its proper divisors (33799590780).

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

14048180100 is a wasteful number, since it uses less digits than its factorization.

14048180100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26571 (or 26561 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 14048180100 in words is "fourteen billion, forty-eight million, one hundred eighty thousand, one hundred".