209764916001 has 21 divisors (see below), whose sum is σ = 314522043969. Its totient is φ = 139835033316.

The previous prime is 209764915991. The next prime is 209764916021. The reversal of 209764916001 is 100619467902.

The square root of 209764916001 is 458001.

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

It is not a de Polignac number, because 209764916001 - 2⁷ = 209764915873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (209764916021) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 12357546 + ... + 12374508.

It is an arithmetic number, because the mean of its divisors is an integer number (14977240189).

Almost surely, 2^209764916001 is an apocalyptic number.

209764916001 is the 458001-st square number.

209764916001 is the 229001-st centered octagonal number.

It is an amenable number.

209764916001 is a deficient number, since it is larger than the sum of its proper divisors (104757127968).

209764916001 is an frugal number, since it uses more digits than its factorization.

209764916001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33944 (or 16966 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 209764916001 in words is "two hundred nine billion, seven hundred sixty-four million, nine hundred sixteen thousand, one".