17229141082972 has 384 divisors, whose sum is σ = 41020589998080. Its totient is φ = 6144536724480.

The previous prime is 17229141082931. The next prime is 17229141082991. The reversal of 17229141082972 is 27928014192271.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4162631679 + ... + 4162635817.

It is an arithmetic number, because the mean of its divisors is an integer number (106824453120).

Almost surely, 2^{17229141082972} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17229141082972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20510294999040).

17229141082972 is an abundant number, since it is smaller than the sum of its proper divisors (23791448915108).

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

17229141082972 is a wasteful number, since it uses less digits than its factorization.

17229141082972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4633 (or 4631 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 55.

The spelling of 17229141082972 in words is "seventeen trillion, two hundred twenty-nine billion, one hundred forty-one million, eighty-two thousand, nine hundred seventy-two".