337406471689 has 9 divisors (see below), whose sum is σ = 392497972551. Its totient is φ = 289202061960.

The previous prime is 337406471681. The next prime is 337406471741. The reversal of 337406471689 is 986174604733.

The square root of 337406471689 is 580867.

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., 108559047289 + 228847424400 = 329483^2 + 478380^2 .

It is not a de Polignac number, because 337406471689 - 2³ = 337406471681 is a prime.

It is a super-2 number, since 2×337406471689² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (337406471681) 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, 4024579 + ... + 4107559.

It is an arithmetic number, because the mean of its divisors is an integer number (43610885839).

Almost surely, 2^337406471689 is an apocalyptic number.

337406471689 is the 580867-th square number.

337406471689 is the 290434-th centered octagonal number.

It is an amenable number.

337406471689 is a deficient number, since it is larger than the sum of its proper divisors (55091500862).

337406471689 is an frugal number, since it uses more digits than its factorization.

337406471689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165976 (or 82988 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 58.

The spelling of 337406471689 in words is "three hundred thirty-seven billion, four hundred six million, four hundred seventy-one thousand, six hundred eighty-nine".