17345135011330 has 48 divisors (see below), whose sum is σ = 38454976415736. Its totient is φ = 5597085580800.

The previous prime is 17345135011289. The next prime is 17345135011339. The reversal of 17345135011330 is 3311053154371.

17345135011330 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 4 ways, for example, as 14362637097249 + 2982497914081 = 3789807^2 + 1726991^2 .

It is a super-2 number, since 2×17345135011330² (a number of 27 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 17345135011330.

It is not an unprimeable number, because it can be changed into a prime (17345135011339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1041116221 + ... + 1041132880.

Almost surely, 2^{17345135011330} is an apocalyptic number.

17345135011330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

17345135011330 is an abundant number, since it is smaller than the sum of its proper divisors (21109841404406).

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

17345135011330 is a wasteful number, since it uses less digits than its factorization.

17345135011330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082249139 (or 2082249132 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 37.

The spelling of 17345135011330 in words is "seventeen trillion, three hundred forty-five billion, one hundred thirty-five million, eleven thousand, three hundred thirty".