17145101682 has 112 divisors (see below), whose sum is σ = 39223896408. Its totient is φ = 5617382400.

The previous prime is 17145101641. The next prime is 17145101683. The reversal of 17145101682 is 28610154171.

It can be written as a sum of positive squares in 4 ways, for example, as 17098439121 + 46662561 = 130761^2 + 6831^2 .

It is a super-2 number, since 2×17145101682² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (17145101683) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 25475298 + ... + 25475970.

Almost surely, 2^17145101682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17145101682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19611948204).

17145101682 is an abundant number, since it is smaller than the sum of its proper divisors (22078794726).

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

17145101682 is a wasteful number, since it uses less digits than its factorization.

17145101682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 17145101682 in words is "seventeen billion, one hundred forty-five million, one hundred one thousand, six hundred eighty-two".