882406287009 has 24 divisors (see below), whose sum is σ = 1453375064232. Its totient is φ = 511076943360.

The previous prime is 882406286981. The next prime is 882406287019. The reversal of 882406287009 is 900782604288.

882406287009 is a `hidden beast` number, since 8 + 8 + 2 + 4 + 0 + 628 + 7 + 0 + 0 + 9 = 666.

882406287009 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 337673723409 + 544732563600 = 581097^2 + 738060^2 .

It is not a de Polignac number, because 882406287009 - 2³⁹ = 332650473121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (882406287019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221819602 + ... + 221823579.

It is an arithmetic number, because the mean of its divisors is an integer number (60557294343).

Almost surely, 2^882406287009 is an apocalyptic number.

It is an amenable number.

882406287009 is a deficient number, since it is larger than the sum of its proper divisors (570968777223).

882406287009 is a wasteful number, since it uses less digits than its factorization.

882406287009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443643217 (or 443643214 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 882406287009 in words is "eight hundred eighty-two billion, four hundred six million, two hundred eighty-seven thousand, nine".