188224954801 has 27 divisors (see below), whose sum is σ = 213211416747. Its totient is φ = 166077397200.

The previous prime is 188224954759. The next prime is 188224954823. The reversal of 188224954801 is 108459422881.

The square root of 188224954801 is 433849.

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

188224954801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 27843928225 + 160381026576 = 166865^2 + 400476^2 .

It is a de Polignac number, because none of the positive numbers 2^k-188224954801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (188224954501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 129720126 + ... + 129721576.

Almost surely, 2^188224954801 is an apocalyptic number.

188224954801 is the 433849-th square number.

188224954801 is the 216925-th centered octagonal number.

It is an amenable number.

188224954801 is a deficient number, since it is larger than the sum of its proper divisors (24986461946).

188224954801 is an frugal number, since it uses more digits than its factorization.

188224954801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 52.

The spelling of 188224954801 in words is "one hundred eighty-eight billion, two hundred twenty-four million, nine hundred fifty-four thousand, eight hundred one".