223164787567401 has 27 divisors (see below), whose sum is σ = 322664767354839. Its totient is φ = 148630992219792.

The previous prime is 223164787567399. The next prime is 223164787567439. The reversal of 223164787567401 is 104765787461322.

The square root of 223164787567401 is 14938701.

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

223164787567401 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 64 + 7 + 8 + 7 + 567 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 210532990160025 + 12631797407376 = 14509755^2 + 3554124^2 .

It is not a de Polignac number, because 223164787567401 - 2¹ = 223164787567399 is a prime.

It is a super-3 number, since 3×223164787567401³ (a number of 44 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (223164787560401) 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, 65386692571 + ... + 65386695983.

Almost surely, 2^{223164787567401} is an apocalyptic number.

223164787567401 is the 14938701-st square number.

223164787567401 is the 7469351-st centered octagonal number.

It is an amenable number.

223164787567401 is a deficient number, since it is larger than the sum of its proper divisors (99499979787438).

223164787567401 is an frugal number, since it uses more digits than its factorization.

223164787567401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9750 (or 4875 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 223164787567401 in words is "two hundred twenty-three trillion, one hundred sixty-four billion, seven hundred eighty-seven million, five hundred sixty-seven thousand, four hundred one".