4178545134201 has 27 divisors (see below), whose sum is σ = 6050799212367. Its totient is φ = 2778734384640.

The previous prime is 4178545134193. The next prime is 4178545134259. The reversal of 4178545134201 is 1024315458714.

The square root of 4178545134201 is 2044149.

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

4178545134201 is a `hidden beast` number, since 4 + 1 + 78 + 545 + 1 + 34 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3771756294201 + 406788840000 = 1942101^2 + 637800^2 .

It is not a de Polignac number, because 4178545134201 - 2³ = 4178545134193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4178545134271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3930897996 + ... + 3930899058.

Almost surely, 2^{4178545134201} is an apocalyptic number.

4178545134201 is the 2044149-th square number.

4178545134201 is the 1022075-th centered octagonal number.

It is an amenable number.

4178545134201 is a deficient number, since it is larger than the sum of its proper divisors (1872254078166).

4178545134201 is an frugal number, since it uses more digits than its factorization.

4178545134201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

It can be divided in two parts, 417854513 and 4201, that added together give a palindrome (417858714).

The spelling of 4178545134201 in words is "four trillion, one hundred seventy-eight billion, five hundred forty-five million, one hundred thirty-four thousand, two hundred one".