14545141200 has 90 divisors (see below), whose sum is σ = 50475692774. Its totient is φ = 3878703360.

The previous prime is 14545141187. The next prime is 14545141201. The reversal of 14545141200 is 214154541.

14545141200 is a `hidden beast` number, since 1 + 4 + 5 + 451 + 4 + 1 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2795448384 + 11749692816 = 52872^2 + 108396^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×14545141200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14545141201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2016559 + ... + 2023758.

Almost surely, 2^14545141200 is an apocalyptic number.

14545141200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14545141200 is an abundant number, since it is smaller than the sum of its proper divisors (35930551574).

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

14545141200 is a wasteful number, since it uses less digits than its factorization.

14545141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4040341 (or 4040327 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 14545141200 its reverse (214154541), we get a palindrome (14759295741).

The spelling of 14545141200 in words is "fourteen billion, five hundred forty-five million, one hundred forty-one thousand, two hundred".