79133628249 has 27 divisors (see below), whose sum is σ = 123790272957. Its totient is φ = 48690866016.

The previous prime is 79133628247. The next prime is 79133628269. The reversal of 79133628249 is 94282633197.

The square root of 79133628249 is 281307.

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

79133628249 is a `hidden beast` number, since 7 + 9 + 1 + 3 + 3 + 628 + 2 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82682649 + 79050945600 = 9093^2 + 281160^2 .

It is not a de Polignac number, because 79133628249 - 2¹ = 79133628247 is a prime.

It is a super-2 number, since 2×79133628249² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 79133628195 and 79133628204.

It is not an unprimeable number, because it can be changed into a prime (79133628241) 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, 10967367 + ... + 10974579.

Almost surely, 2^79133628249 is an apocalyptic number.

79133628249 is the 281307-th square number.

79133628249 is the 140654-th centered octagonal number.

It is an amenable number.

79133628249 is a deficient number, since it is larger than the sum of its proper divisors (44656644708).

79133628249 is an frugal number, since it uses more digits than its factorization.

79133628249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14458 (or 7229 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 79133628249 in words is "seventy-nine billion, one hundred thirty-three million, six hundred twenty-eight thousand, two hundred forty-nine".