13414058112 has 768 divisors, whose sum is σ = 48446899200. Its totient is φ = 3251404800.

The previous prime is 13414058101. The next prime is 13414058201. The reversal of 13414058112 is 21185041431.

It is a super-2 number, since 2×13414058112² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13414058112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 219902562 + ... + 219902622.

It is an arithmetic number, because the mean of its divisors is an integer number (63081900).

Almost surely, 2^13414058112 is an apocalyptic number.

13414058112 is a gapful number since it is divisible by the number (12) 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 13414058112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24223449600).

13414058112 is an abundant number, since it is smaller than the sum of its proper divisors (35032841088).

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

13414058112 is a wasteful number, since it uses less digits than its factorization.

13414058112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 13414058112 its reverse (21185041431), we get a palindrome (34599099543).

The spelling of 13414058112 in words is "thirteen billion, four hundred fourteen million, fifty-eight thousand, one hundred twelve".