218370224601 has 27 divisors (see below), whose sum is σ = 321596761759. Its totient is φ = 142784755152.

The previous prime is 218370224587. The next prime is 218370224609. The reversal of 218370224601 is 106422073812.

It is a happy number.

The square root of 218370224601 is 467301.

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

218370224601 is a `hidden beast` number, since 2 + 1 + 8 + 370 + 224 + 60 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 157422465225 + 60947759376 = 396765^2 + 246876^2 .

It is not a de Polignac number, because 218370224601 - 2⁷ = 218370224473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (218370224609) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 74299390 + ... + 74302328.

Almost surely, 2^218370224601 is an apocalyptic number.

218370224601 is the 467301-st square number.

218370224601 is the 233651-st centered octagonal number.

It is an amenable number.

218370224601 is a deficient number, since it is larger than the sum of its proper divisors (103226537158).

218370224601 is an frugal number, since it uses more digits than its factorization.

218370224601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5990 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 218370224601 by its sum of digits (36), we get a square (7861328085636 = 2803806²).

The spelling of 218370224601 in words is "two hundred eighteen billion, three hundred seventy million, two hundred twenty-four thousand, six hundred one".