17434060681216 has 104 divisors (see below), whose sum is σ = 36919348032960. Its totient is φ = 8203226578944.

The previous prime is 17434060681201. The next prime is 17434060681327. The reversal of 17434060681216 is 61218606043471.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 17434060681216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1075040340 + ... + 1075056556.

Almost surely, 2^{17434060681216} is an apocalyptic number.

17434060681216 is a gapful number since it is divisible by the number (16) 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 17434060681216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18459674016480).

17434060681216 is an abundant number, since it is smaller than the sum of its proper divisors (19485287351744).

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

17434060681216 is a wasteful number, since it uses less digits than its factorization.

17434060681216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31697 (or 31675 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 17434060681216 in words is "seventeen trillion, four hundred thirty-four billion, sixty million, six hundred eighty-one thousand, two hundred sixteen".