17114080136010 has 512 divisors, whose sum is σ = 51342735790080. Its totient is φ = 3619045647360.

The previous prime is 17114080135963. The next prime is 17114080136011. The reversal of 17114080136010 is 1063108041171.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (17114080136011) 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 255 ways as a sum of consecutive naturals, for example, 4369178572 + ... + 4369182488.

It is an arithmetic number, because the mean of its divisors is an integer number (100278780840).

Almost surely, 2^{17114080136010} is an apocalyptic number.

17114080136010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 17114080136010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25671367895040).

17114080136010 is an abundant number, since it is smaller than the sum of its proper divisors (34228655654070).

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

17114080136010 is a wasteful number, since it uses less digits than its factorization.

17114080136010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4435 (or 4413 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

Adding to 17114080136010 its reverse (1063108041171), we get a palindrome (18177188177181).

The spelling of 17114080136010 in words is "seventeen trillion, one hundred fourteen billion, eighty million, one hundred thirty-six thousand, ten".