13642336566160 has 80 divisors (see below), whose sum is σ = 32355884827440. Its totient is φ = 5347513866240.

The previous prime is 13642336566149. The next prime is 13642336566163. The reversal of 13642336566160 is 6166563324631.

It can be written as a sum of positive squares in 8 ways, for example, as 769367562496 + 12872969003664 = 877136^2 + 3587892^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13642336566160² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13642336566098 and 13642336566107.

It is not an unprimeable number, because it can be changed into a prime (13642336566163) 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, 1574350 + ... + 5455570.

It is an arithmetic number, because the mean of its divisors is an integer number (404448560343).

Almost surely, 2^{13642336566160} is an apocalyptic number.

13642336566160 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 13642336566160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16177942413720).

13642336566160 is an abundant number, since it is smaller than the sum of its proper divisors (18713548261280).

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

13642336566160 is a wasteful number, since it uses less digits than its factorization.

13642336566160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3882116 (or 3882110 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 52.

The spelling of 13642336566160 in words is "thirteen trillion, six hundred forty-two billion, three hundred thirty-six million, five hundred sixty-six thousand, one hundred sixty".