14516006400 has 720 divisors, whose sum is σ = 60791537664. Its totient is φ = 3238871040.

The previous prime is 14516006279. The next prime is 14516006423. The reversal of 14516006400 is 460061541.

14516006400 is a `hidden beast` number, since 1 + 4 + 5 + 16 + 0 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 37900609 + ... + 37900991.

Almost surely, 2^14516006400 is an apocalyptic number.

14516006400 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 14516006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30395768832).

14516006400 is an abundant number, since it is smaller than the sum of its proper divisors (46275531264).

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

14516006400 is a wasteful number, since it uses less digits than its factorization.

14516006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 14516006400 its reverse (460061541), we get a palindrome (14976067941).

The spelling of 14516006400 in words is "fourteen billion, five hundred sixteen million, six thousand, four hundred".