171121731872 has 96 divisors (see below), whose sum is σ = 415633680000. Its totient is φ = 67534460928.

The previous prime is 171121731863. The next prime is 171121731881. The reversal of 171121731872 is 278137121171.

171121731872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (171121731863) and next prime (171121731881).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1150004 + ... + 1290252.

It is an arithmetic number, because the mean of its divisors is an integer number (4329517500).

Almost surely, 2^171121731872 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 171121731872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207816840000).

171121731872 is an abundant number, since it is smaller than the sum of its proper divisors (244511948128).

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

171121731872 is a wasteful number, since it uses less digits than its factorization.

171121731872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140698 (or 140690 counting only the distinct ones).

The product of its digits is 32928, while the sum is 41.

The spelling of 171121731872 in words is "one hundred seventy-one billion, one hundred twenty-one million, seven hundred thirty-one thousand, eight hundred seventy-two".