14670054400 has 99 divisors (see below), whose sum is σ = 36412070799. Its totient is φ = 5860270080.

The previous prime is 14670054383. The next prime is 14670054407. The reversal of 14670054400 is 445007641.

The square root of 14670054400 is 121120.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7750656 + 14662303744 = 2784^2 + 121088^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14670054407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19378822 + ... + 19379578.

Almost surely, 2^14670054400 is an apocalyptic number.

14670054400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14670054400 is the 121120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14670054400

14670054400 is an abundant number, since it is smaller than the sum of its proper divisors (21742016399).

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

14670054400 is an frugal number, since it uses more digits than its factorization.

14670054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The spelling of 14670054400 in words is "fourteen billion, six hundred seventy million, fifty-four thousand, four hundred".