20967329601 has 63 divisors (see below), whose sum is σ = 32672260947. Its totient is φ = 13449116880.

The previous prime is 20967329573. The next prime is 20967329611. The reversal of 20967329601 is 10692376902.

It is a happy number.

The square root of 20967329601 is 144801.

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

20967329601 is a `hidden beast` number, since 2 + 0 + 9 + 6 + 7 + 32 + 9 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19072991025 + 1894338576 = 138105^2 + 43524^2 .

It is not a de Polignac number, because 20967329601 - 2⁵ = 20967329569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20967329611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 121198351 + ... + 121198523.

Almost surely, 2^20967329601 is an apocalyptic number.

20967329601 is the 144801-st square number.

20967329601 is the 72401-st centered octagonal number.

It is an amenable number.

20967329601 is a deficient number, since it is larger than the sum of its proper divisors (11704931346).

20967329601 is an frugal number, since it uses more digits than its factorization.

20967329601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 20967329601 in words is "twenty billion, nine hundred sixty-seven million, three hundred twenty-nine thousand, six hundred one".