223964616001 has 9 divisors (see below), whose sum is σ = 260534121249. Its totient is φ = 191966831364.

The previous prime is 223964615983. The next prime is 223964616017. The reversal of 223964616001 is 100616469322.

The square root of 223964616001 is 473249.

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

It is not a de Polignac number, because 223964616001 - 2⁹ = 223964615489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (223964616061) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3278940 + ... + 3346546.

Almost surely, 2^223964616001 is an apocalyptic number.

223964616001 is the 473249-th square number.

223964616001 is the 236625-th centered octagonal number.

It is an amenable number.

223964616001 is a deficient number, since it is larger than the sum of its proper divisors (36569505248).

223964616001 is an frugal number, since it uses more digits than its factorization.

223964616001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135228 (or 67614 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 223964616001 in words is "two hundred twenty-three billion, nine hundred sixty-four million, six hundred sixteen thousand, one".