413206471665 has 144 divisors (see below), whose sum is σ = 844212777408. Its totient is φ = 192715500672.

The previous prime is 413206471619. The next prime is 413206471757. The reversal of 413206471665 is 566174602314.

It is not a de Polignac number, because 413206471665 - 2¹⁹ = 413205947377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 413206471665.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5665762 + ... + 5738228.

It is an arithmetic number, because the mean of its divisors is an integer number (5862588732).

Almost surely, 2^413206471665 is an apocalyptic number.

413206471665 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

413206471665 is an abundant number, since it is smaller than the sum of its proper divisors (431006305743).

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

413206471665 is a wasteful number, since it uses less digits than its factorization.

413206471665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72538 (or 72507 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 413206471665 in words is "four hundred thirteen billion, two hundred six million, four hundred seventy-one thousand, six hundred sixty-five".