171955431144 has 128 divisors (see below), whose sum is σ = 552024288000. Its totient is φ = 48578061312.

The previous prime is 171955431101. The next prime is 171955431157. The reversal of 171955431144 is 441134559171.

171955431144 is a `hidden beast` number, since 1 + 7 + 1 + 95 + 543 + 1 + 14 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 171955431144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504349 + ... + 773484.

It is an arithmetic number, because the mean of its divisors is an integer number (4312689750).

Almost surely, 2^171955431144 is an apocalyptic number.

171955431144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

171955431144 is an abundant number, since it is smaller than the sum of its proper divisors (380068856856).

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

171955431144 is a wasteful number, since it uses less digits than its factorization.

171955431144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277944 (or 1277934 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 171955431144 in words is "one hundred seventy-one billion, nine hundred fifty-five million, four hundred thirty-one thousand, one hundred forty-four".