171402066144 has 192 divisors, whose sum is σ = 536166086400. Its totient is φ = 53105435136.

The previous prime is 171402066127. The next prime is 171402066203. The reversal of 171402066144 is 441660204171.

It is a happy number.

171402066144 is a `hidden beast` number, since 1 + 7 + 14 + 0 + 20 + 6 + 614 + 4 = 666.

It is a super-3 number, since 3×171402066144³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 171402066099 and 171402066108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 771547 + ... + 968549.

It is an arithmetic number, because the mean of its divisors is an integer number (2792531700).

Almost surely, 2^171402066144 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 171402066144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268083043200).

171402066144 is an abundant number, since it is smaller than the sum of its proper divisors (364764020256).

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

171402066144 is a wasteful number, since it uses less digits than its factorization.

171402066144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197094 (or 197080 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 171402066144 in words is "one hundred seventy-one billion, four hundred two million, sixty-six thousand, one hundred forty-four".