826384629249 has 9 divisors (see below), whose sum is σ = 1193670625953. Its totient is φ = 550921268052.

The previous prime is 826384629229. The next prime is 826384629253. The reversal of 826384629249 is 942926483628.

The square root of 826384629249 is 909057.

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

826384629249 is a `hidden beast` number, since 8 + 2 + 6 + 384 + 6 + 2 + 9 + 249 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-826384629249 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (826384629229) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2575662 + ... + 2878680.

Almost surely, 2^826384629249 is an apocalyptic number.

826384629249 is the 909057-th square number.

826384629249 is the 454529-th centered octagonal number.

It is an amenable number.

826384629249 is a deficient number, since it is larger than the sum of its proper divisors (367285996704).

826384629249 is an frugal number, since it uses more digits than its factorization.

826384629249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606044 (or 303022 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 826384629249 in words is "eight hundred twenty-six billion, three hundred eighty-four million, six hundred twenty-nine thousand, two hundred forty-nine".