171971094923264 has 1152 divisors, whose sum is σ = 468302289960960. Its totient is φ = 61401386188800.

The previous prime is 171971094923207. The next prime is 171971094923269. The reversal of 171971094923264 is 462329490179171.

It is a super-2 number, since 2×171971094923264² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 171971094923264.

It is not an unprimeable number, because it can be changed into a prime (171971094923269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 212048205419 + ... + 212048206229.

It is an arithmetic number, because the mean of its divisors is an integer number (406512404480).

Almost surely, 2^{171971094923264} is an apocalyptic number.

171971094923264 is a gapful number since it is divisible by the number (14) 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 171971094923264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234151144980480).

171971094923264 is an abundant number, since it is smaller than the sum of its proper divisors (296331195037696).

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

171971094923264 is a wasteful number, since it uses less digits than its factorization.

171971094923264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 65.

The spelling of 171971094923264 in words is "one hundred seventy-one trillion, nine hundred seventy-one billion, ninety-four million, nine hundred twenty-three thousand, two hundred sixty-four".