830906994681 has 27 divisors (see below), whose sum is σ = 1205304239503. Its totient is φ = 551591689920.

The previous prime is 830906994623. The next prime is 830906994689. The reversal of 830906994681 is 186499609038.

It is a happy number.

The square root of 830906994681 is 911541.

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

830906994681 is a `hidden beast` number, since 83 + 0 + 9 + 0 + 6 + 99 + 468 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 777368439225 + 53538555456 = 881685^2 + 231384^2 .

It is not a de Polignac number, because 830906994681 - 2¹¹ = 830906992633 is a prime.

It is a super-2 number, since 2×830906994681² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (830906994689) 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, 850467265 + ... + 850468241.

Almost surely, 2^830906994681 is an apocalyptic number.

830906994681 is the 911541-st square number.

830906994681 is the 455771-st centered octagonal number.

It is an amenable number.

830906994681 is a deficient number, since it is larger than the sum of its proper divisors (374397244822).

830906994681 is an frugal number, since it uses more digits than its factorization.

830906994681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 830906994681 in words is "eight hundred thirty billion, nine hundred six million, nine hundred ninety-four thousand, six hundred eighty-one".