14535205521012 has 288 divisors, whose sum is σ = 42053812469760. Its totient is φ = 4193130240000.

The previous prime is 14535205520993. The next prime is 14535205521013. The reversal of 14535205521012 is 21012550253541.

14535205521012 is a `hidden beast` number, since 1 + 4 + 53 + 52 + 0 + 552 + 1 + 0 + 1 + 2 = 666.

It is a super-2 number, since 2×14535205521012² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14535205521013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 190890564 + ... + 190966692.

Almost surely, 2^{14535205521012} is an apocalyptic number.

14535205521012 is a gapful number since it is divisible by the number (12) 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 14535205521012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21026906234880).

14535205521012 is an abundant number, since it is smaller than the sum of its proper divisors (27518606948748).

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

14535205521012 is a wasteful number, since it uses less digits than its factorization.

14535205521012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76435 (or 76430 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

Adding to 14535205521012 its reverse (21012550253541), we get a palindrome (35547755774553).

The spelling of 14535205521012 in words is "fourteen trillion, five hundred thirty-five billion, two hundred five million, five hundred twenty-one thousand, twelve".