8356429781001 has 81 divisors (see below), whose sum is σ = 12642123872469. Its totient is φ = 5318793152064.

The previous prime is 8356429780987. The next prime is 8356429781009. The reversal of 8356429781001 is 1001879246538.

The square root of 8356429781001 is 2890749.

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

8356429781001 is a `hidden beast` number, since 8 + 3 + 564 + 2 + 9 + 78 + 1 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1337957203401 + 7018472577600 = 1156701^2 + 2649240^2 .

It is not a de Polignac number, because 8356429781001 - 2¹³ = 8356429772809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8356429781009) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 37472779176 + ... + 37472779398.

It is a 1-persistent number, because it is pandigital, but 2⋅8356429781001 = 16712859562002 is not.

Almost surely, 2^{8356429781001} is an apocalyptic number.

8356429781001 is the 2890749-th square number.

8356429781001 is the 1445375-th centered octagonal number.

It is an amenable number.

8356429781001 is a deficient number, since it is larger than the sum of its proper divisors (4285694091468).

8356429781001 is an equidigital number, since it uses as much as digits as its factorization.

8356429781001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 8356429781001 in words is "eight trillion, three hundred fifty-six billion, four hundred twenty-nine million, seven hundred eighty-one thousand, one".