172256541444 has 243 divisors, whose sum is σ = 502468987293. Its totient is φ = 49724872704.

The previous prime is 172256541409. The next prime is 172256541467. The reversal of 172256541444 is 444145652271.

The square root of 172256541444 is 415038.

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

172256541444 is a `hidden beast` number, since 1 + 7 + 2 + 2 + 565 + 41 + 4 + 44 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 172216700100 + 39841344 = 414990^2 + 6312^2 .

It is a super-3 number, since 3×172256541444³ (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 172256541444.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 550340232 + ... + 550340544.

Almost surely, 2^172256541444 is an apocalyptic number.

172256541444 is the 415038-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172256541444

172256541444 is an abundant number, since it is smaller than the sum of its proper divisors (330212445849).

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

172256541444 is a wasteful number, since it uses less digits than its factorization.

172256541444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 348 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The spelling of 172256541444 in words is "one hundred seventy-two billion, two hundred fifty-six million, five hundred forty-one thousand, four hundred forty-four".