830261748969 has 45 divisors (see below), whose sum is σ = 1251079612167. Its totient is φ = 548724100896.

The previous prime is 830261748929. The next prime is 830261748989. The reversal of 830261748969 is 969847162038.

The square root of 830261748969 is 911187.

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

830261748969 is a `hidden beast` number, since 8 + 3 + 0 + 2 + 617 + 4 + 8 + 9 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 487699706025 + 342562042944 = 698355^2 + 585288^2 .

It is a de Polignac number, because none of the positive numbers 2^k-830261748969 is a prime.

It is a super-2 number, since 2×830261748969² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (830261748929) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1123493202 + ... + 1123493940.

Almost surely, 2^830261748969 is an apocalyptic number.

830261748969 is the 911187-th square number.

830261748969 is the 455594-th centered octagonal number.

It is an amenable number.

830261748969 is a deficient number, since it is larger than the sum of its proper divisors (420817863198).

830261748969 is an frugal number, since it uses more digits than its factorization.

830261748969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 830261748969 in words is "eight hundred thirty billion, two hundred sixty-one million, seven hundred forty-eight thousand, nine hundred sixty-nine".