224013836601 has 45 divisors (see below), whose sum is σ = 342881575509. Its totient is φ = 145750203144.

The previous prime is 224013836593. The next prime is 224013836603. The reversal of 224013836601 is 106638310422.

The square root of 224013836601 is 473301.

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

224013836601 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 13 + 8 + 36 + 601 = 666.

It is not a de Polignac number, because 224013836601 - 2³ = 224013836593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (224013836603) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 183166876 + ... + 183168098.

Almost surely, 2^224013836601 is an apocalyptic number.

224013836601 is the 473301-st square number.

224013836601 is the 236651-st centered octagonal number.

It is an amenable number.

224013836601 is a deficient number, since it is larger than the sum of its proper divisors (118867738908).

224013836601 is an frugal number, since it uses more digits than its factorization.

224013836601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 224013836601 by its sum of digits (36), we get a square (8064498117636 = 2839806²).

The spelling of 224013836601 in words is "two hundred twenty-four billion, thirteen million, eight hundred thirty-six thousand, six hundred one".