806622729248 has 162 divisors, whose sum is σ = 1901689033671. Its totient is φ = 335803636224.

The previous prime is 806622729247. The next prime is 806622729299. The reversal of 806622729248 is 842927226608.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 193765475344 + 612857253904 = 440188^2 + 782852^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=635068.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 806622729193 and 806622729202.

It is not an unprimeable number, because it can be changed into a prime (806622729247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1315860590 + ... + 1315861202.

Almost surely, 2^806622729248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806622729248

806622729248 is an abundant number, since it is smaller than the sum of its proper divisors (1095066304423).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

806622729248 is an frugal number, since it uses more digits than its factorization.

806622729248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 56.

The spelling of 806622729248 in words is "eight hundred six billion, six hundred twenty-two million, seven hundred twenty-nine thousand, two hundred forty-eight".