14450171904 has 672 divisors, whose sum is σ = 53241342336. Its totient is φ = 3822059520.

The previous prime is 14450171903. The next prime is 14450171927. The reversal of 14450171904 is 40917105441.

14450171904 is a `hidden beast` number, since 1 + 4 + 450 + 17 + 190 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14450171903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236888034 + ... + 236888094.

It is an arithmetic number, because the mean of its divisors is an integer number (79228188).

Almost surely, 2^14450171904 is an apocalyptic number.

14450171904 is a gapful number since it is divisible by the number (14) 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 14450171904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26620671168).

14450171904 is an abundant number, since it is smaller than the sum of its proper divisors (38791170432).

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

14450171904 is an frugal number, since it uses more digits than its factorization.

14450171904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 14450171904 in words is "fourteen billion, four hundred fifty million, one hundred seventy-one thousand, nine hundred four".