14814681120 has 144 divisors (see below), whose sum is σ = 50742986112. Its totient is φ = 3935900160.

The previous prime is 14814681071. The next prime is 14814681137. The reversal of 14814681120 is 2118641841.

14814681120 is a `hidden beast` number, since 1 + 4 + 81 + 468 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 371259 + ... + 409221.

It is an arithmetic number, because the mean of its divisors is an integer number (352381848).

Almost surely, 2^14814681120 is an apocalyptic number.

14814681120 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 14814681120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25371493056).

14814681120 is an abundant number, since it is smaller than the sum of its proper divisors (35928304992).

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

14814681120 is a wasteful number, since it uses less digits than its factorization.

14814681120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38255 (or 38244 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

It can be divided in two parts, 14814681 and 120, that added together give a square (14814801 = 3849²).

The spelling of 14814681120 in words is "fourteen billion, eight hundred fourteen million, six hundred eighty-one thousand, one hundred twenty".