14534320400 has 60 divisors (see below), whose sum is σ = 34931292900. Its totient is φ = 5811632640.

The previous prime is 14534320399. The next prime is 14534320403. The reversal of 14534320400 is 402343541.

It can be written as a sum of positive squares in 6 ways, for example, as 1975980304 + 12558340096 = 44452^2 + 112064^2 .

It is a super-2 number, since 2×14534320400² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14534320400.

It is not an unprimeable number, because it can be changed into a prime (14534320403) 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, 1591046 + ... + 1600154.

It is an arithmetic number, because the mean of its divisors is an integer number (582188215).

Almost surely, 2^14534320400 is an apocalyptic number.

14534320400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14534320400 is an abundant number, since it is smaller than the sum of its proper divisors (20396972500).

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

14534320400 is a wasteful number, since it uses less digits than its factorization.

14534320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13116 (or 13105 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 14534320400 its reverse (402343541), we get a palindrome (14936663941).

The spelling of 14534320400 in words is "fourteen billion, five hundred thirty-four million, three hundred twenty thousand, four hundred".