16921301829601 has 27 divisors (see below), whose sum is σ = 18499082622489. Its totient is φ = 15471032402592.

The previous prime is 16921301829563. The next prime is 16921301829659. The reversal of 16921301829601 is 10692810312961.

It is a happy number.

The square root of 16921301829601 is 4113551.

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

It can be written as a sum of positive squares in 4 ways, for example, as 591814797025 + 16329487032576 = 769295^2 + 4040976^2 .

It is not a de Polignac number, because 16921301829601 - 2³¹ = 16919154345953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16921301829661) 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, 5828900316 + ... + 5828903218.

Almost surely, 2^{16921301829601} is an apocalyptic number.

16921301829601 is the 4113551-st square number.

16921301829601 is the 2056776-th centered octagonal number.

It is an amenable number.

16921301829601 is a deficient number, since it is larger than the sum of its proper divisors (1577780792888).

16921301829601 is an frugal number, since it uses more digits than its factorization.

16921301829601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6050 (or 3025 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 49.

Multiplying 16921301829601 by its sum of digits (49), we get a square (829143789650449 = 28794857²).

The spelling of 16921301829601 in words is "sixteen trillion, nine hundred twenty-one billion, three hundred one million, eight hundred twenty-nine thousand, six hundred one".