14202135426816 has 144 divisors (see below), whose sum is σ = 43824222731520. Its totient is φ = 4528217041920.

The previous prime is 14202135426811. The next prime is 14202135426859. The reversal of 14202135426816 is 61862453120241.

14202135426816 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 21 + 3 + 542 + 6 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14202135426811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44508570 + ... + 44826521.

It is an arithmetic number, because the mean of its divisors is an integer number (304334880080).

Almost surely, 2^{14202135426816} is an apocalyptic number.

14202135426816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14202135426816 is an abundant number, since it is smaller than the sum of its proper divisors (29622087304704).

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

14202135426816 is an equidigital number, since it uses as much as digits as its factorization.

14202135426816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89335139 (or 89335119 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 14202135426816 in words is "fourteen trillion, two hundred two billion, one hundred thirty-five million, four hundred twenty-six thousand, eight hundred sixteen".