13522214586342 has 256 divisors, whose sum is σ = 36099656570880. Its totient is φ = 3274319462400.

The previous prime is 13522214586311. The next prime is 13522214586343. The reversal of 13522214586342 is 24368541222531.

It is a junction number, because it is equal to n+sod(n) for n = 13522214586291 and 13522214586300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13522214586343) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53156958 + ... + 53410734.

It is an arithmetic number, because the mean of its divisors is an integer number (141014283480).

Almost surely, 2^{13522214586342} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13522214586342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18049828285440).

13522214586342 is an abundant number, since it is smaller than the sum of its proper divisors (22577441984538).

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

13522214586342 is a wasteful number, since it uses less digits than its factorization.

13522214586342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253967.

The product of its digits is 2764800, while the sum is 48.

The spelling of 13522214586342 in words is "thirteen trillion, five hundred twenty-two billion, two hundred fourteen million, five hundred eighty-six thousand, three hundred forty-two".