10342134564656 has 40 divisors (see below), whose sum is σ = 21092927310000. Its totient is φ = 4898809221120.

The previous prime is 10342134564653. The next prime is 10342134564677. The reversal of 10342134564656 is 65646543124301.

It is a happy number.

It is a super-3 number, since 3×10342134564656³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10342134564653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16487816 + ... + 17103576.

It is an arithmetic number, because the mean of its divisors is an integer number (527323182750).

Almost surely, 2^{10342134564656} is an apocalyptic number.

10342134564656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10342134564656 is an abundant number, since it is smaller than the sum of its proper divisors (10750792745344).

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

10342134564656 is a wasteful number, since it uses less digits than its factorization.

10342134564656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671037 (or 671031 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 50.

Adding to 10342134564656 its reverse (65646543124301), we get a palindrome (75988677688957).

The spelling of 10342134564656 in words is "ten trillion, three hundred forty-two billion, one hundred thirty-four million, five hundred sixty-four thousand, six hundred fifty-six".