171133315777872 has 1440 divisors, whose sum is σ = 638864130078720. Its totient is φ = 44011146009600.

The previous prime is 171133315777829. The next prime is 171133315777903. The reversal of 171133315777872 is 278777513331171.

171133315777872 is a `hidden beast` number, since 1 + 7 + 1 + 1 + 333 + 157 + 77 + 87 + 2 = 666.

It is a super-2 number, since 2×171133315777872² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12571308538 + ... + 12571322150.

It is an arithmetic number, because the mean of its divisors is an integer number (443655645888).

Almost surely, 2^{171133315777872} is an apocalyptic number.

171133315777872 is a gapful number since it is divisible by the number (12) 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 171133315777872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319432065039360).

171133315777872 is an abundant number, since it is smaller than the sum of its proper divisors (467730814300848).

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

171133315777872 is a wasteful number, since it uses less digits than its factorization.

171133315777872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13843 (or 13818 counting only the distinct ones).

The product of its digits is 36303120, while the sum is 63.

The spelling of 171133315777872 in words is "one hundred seventy-one trillion, one hundred thirty-three billion, three hundred fifteen million, seven hundred seventy-seven thousand, eight hundred seventy-two".