14351800401 has 99 divisors (see below), whose sum is σ = 23684154481. Its totient is φ = 8694532224.

The previous prime is 14351800381. The next prime is 14351800403. The reversal of 14351800401 is 10400815341.

It is a happy number.

The square root of 14351800401 is 119799.

It is a perfect power (a square), and thus also a powerful number.

14351800401 is a `hidden beast` number, since 143 + 518 + 0 + 0 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1418652225 + 12933148176 = 37665^2 + 113724^2 .

It is not a de Polignac number, because 14351800401 - 2⁷ = 14351800273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14351800403) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 494889655 + ... + 494889683.

Almost surely, 2^14351800401 is an apocalyptic number.

14351800401 is the 119799-th square number.

14351800401 is the 59900-th centered octagonal number.

It is an amenable number.

14351800401 is a deficient number, since it is larger than the sum of its proper divisors (9332354080).

14351800401 is an frugal number, since it uses more digits than its factorization.

14351800401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 14351800401 in words is "fourteen billion, three hundred fifty-one million, eight hundred thousand, four hundred one".