14455204000 has 72 divisors (see below), whose sum is σ = 35535129084. Its totient is φ = 5779040000.

The previous prime is 14455203953. The next prime is 14455204003. The reversal of 14455204000 is 40255441.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 1366928784 + 13088275216 = 36972^2 + 114404^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (14455204003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7603050 + ... + 7604950.

Almost surely, 2^14455204000 is an apocalyptic number.

14455204000 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 14455204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17767564542).

14455204000 is an abundant number, since it is smaller than the sum of its proper divisors (21079925084).

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

14455204000 is an frugal number, since it uses more digits than its factorization.

14455204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3827 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 14455204000 its reverse (40255441), we get a palindrome (14495459441).

The spelling of 14455204000 in words is "fourteen billion, four hundred fifty-five million, two hundred four thousand".