171862456001140 has 48 divisors (see below), whose sum is σ = 369723051757584. Its totient is φ = 67066609664000.

The previous prime is 171862456001113. The next prime is 171862456001141. The reversal of 171862456001140 is 41100654268171.

171862456001140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 60049511702244 + 111812944298896 = 7749162^2 + 10574164^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171862456001141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30690540 + ... + 35855740.

It is an arithmetic number, because the mean of its divisors is an integer number (7702563578283).

Almost surely, 2^{171862456001140} is an apocalyptic number.

171862456001140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

171862456001140 is an abundant number, since it is smaller than the sum of its proper divisors (197860595756444).

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

171862456001140 is a wasteful number, since it uses less digits than its factorization.

171862456001140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5205828 (or 5205826 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The spelling of 171862456001140 in words is "one hundred seventy-one trillion, eight hundred sixty-two billion, four hundred fifty-six million, one thousand, one hundred forty".