829933754049 has 99 divisors (see below), whose sum is σ = 1309405570977. Its totient is φ = 525986289576.

The previous prime is 829933754029. The next prime is 829933754053. The reversal of 829933754049 is 940457339928.

The square root of 829933754049 is 911007.

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

829933754049 is a `hidden beast` number, since 8 + 299 + 337 + 5 + 4 + 0 + 4 + 9 = 666.

It is not a de Polignac number, because 829933754049 - 2¹⁹ = 829933229761 is a prime.

It is a super-2 number, since 2×829933754049² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (829933754029) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 5091618042 + ... + 5091618204.

Almost surely, 2^829933754049 is an apocalyptic number.

829933754049 is the 911007-th square number.

829933754049 is the 455504-th centered octagonal number.

It is an amenable number.

829933754049 is a deficient number, since it is larger than the sum of its proper divisors (479471816928).

829933754049 is an frugal number, since it uses more digits than its factorization.

829933754049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 829933754049 in words is "eight hundred twenty-nine billion, nine hundred thirty-three million, seven hundred fifty-four thousand, forty-nine".