13442123312264 has 8 divisors (see below), whose sum is σ = 25203981210510. Its totient is φ = 6721061656128.

The previous prime is 13442123312263. The next prime is 13442123312329. The reversal of 13442123312264 is 46221332124431.

It is a happy number.

13442123312264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7016618232100 + 6425505080164 = 2648890^2 + 2534858^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×13442123312264² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13442123312263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 840132707009 + ... + 840132707024.

Almost surely, 2^{13442123312264} is an apocalyptic number.

It is an amenable number.

13442123312264 is a deficient number, since it is larger than the sum of its proper divisors (11761857898246).

13442123312264 is a wasteful number, since it uses less digits than its factorization.

13442123312264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680265414039 (or 1680265414035 counting only the distinct ones).

The product of its digits is 165888, while the sum is 38.

Adding to 13442123312264 its reverse (46221332124431), we get a palindrome (59663455436695).

The spelling of 13442123312264 in words is "thirteen trillion, four hundred forty-two billion, one hundred twenty-three million, three hundred twelve thousand, two hundred sixty-four".