412690408337089 has 9 divisors (see below), whose sum is σ = 412902908731747. Its totient is φ = 412478017280824.

The previous prime is 412690408337071. The next prime is 412690408337117. The reversal of 412690408337089 is 980733804096214.

The square root of 412690408337089 is 20314783.

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

It can be written as a sum of positive squares in only one way, i.e., 62891640680625 + 349798767656464 = 7930425^2 + 18702908^2 .

It is not a de Polignac number, because 412690408337089 - 2⁷ = 412690408336961 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 412690408337089.

It is not an unprimeable number, because it can be changed into a prime (412690408337059) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52391821419 + ... + 52391829295.

Almost surely, 2^{412690408337089} is an apocalyptic number.

412690408337089 is the 20314783-rd square number.

412690408337089 is the 10157392-nd centered octagonal number.

It is an amenable number.

412690408337089 is a deficient number, since it is larger than the sum of its proper divisors (212500394658).

412690408337089 is an frugal number, since it uses more digits than its factorization.

412690408337089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20912 (or 10456 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 64.

The spelling of 412690408337089 in words is "four hundred twelve trillion, six hundred ninety billion, four hundred eight million, three hundred thirty-seven thousand, eighty-nine".