171409248256 has 39 divisors (see below), whose sum is σ = 342829644321. Its totient is φ = 85691375616.

The previous prime is 171409248251. The next prime is 171409248287. The reversal of 171409248256 is 652842904171.

The square root of 171409248256 is 414016.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8839008256 + 162570240000 = 94016^2 + 403200^2 .

It is a super-2 number, since 2×171409248256² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (171409248251) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 26493790 + ... + 26500258.

Almost surely, 2^171409248256 is an apocalyptic number.

171409248256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

171409248256 is the 414016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171409248256

171409248256 is an abundant number, since it is smaller than the sum of its proper divisors (171420396065).

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

171409248256 is an frugal number, since it uses more digits than its factorization.

171409248256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12962 (or 6471 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

Multiplying 171409248256 by its sum of digits (49), we get a square (8399053164544 = 2898112²).

The spelling of 171409248256 in words is "one hundred seventy-one billion, four hundred nine million, two hundred forty-eight thousand, two hundred fifty-six".