185168417344 has 105 divisors (see below), whose sum is σ = 390477490697. Its totient is φ = 87122688768.

The previous prime is 185168417299. The next prime is 185168417351. The reversal of 185168417344 is 443714861581.

The square root of 185168417344 is 430312.

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., 21693754944 + 163474662400 = 147288^2 + 404320^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 185168417291 and 185168417300.

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 14 ways as a sum of consecutive naturals, for example, 1242740982 + ... + 1242741130.

Almost surely, 2^185168417344 is an apocalyptic number.

185168417344 is the 430312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 185168417344

185168417344 is an abundant number, since it is smaller than the sum of its proper divisors (205309073353).

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

185168417344 is an frugal number, since it uses more digits than its factorization.

185168417344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 170 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 52.

The spelling of 185168417344 in words is "one hundred eighty-five billion, one hundred sixty-eight million, four hundred seventeen thousand, three hundred forty-four".