331945365609 has 243 divisors, whose sum is σ = 614002654629. Its totient is φ = 172567549440.

The previous prime is 331945365559. The next prime is 331945365611. The reversal of 331945365609 is 906563549133.

The square root of 331945365609 is 576147.

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

331945365609 is a `hidden beast` number, since 3 + 3 + 1 + 9 + 45 + 36 + 560 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2997234009 + 328948131600 = 54747^2 + 573540^2 .

It is not a de Polignac number, because 331945365609 - 2²¹ = 331943268457 is a prime.

It is a super-2 number, since 2×331945365609² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331945315609) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 4201840032 + ... + 4201840110.

Almost surely, 2^331945365609 is an apocalyptic number.

331945365609 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

331945365609 is the 576147-th square number.

331945365609 is the 288074-th centered octagonal number.

It is an amenable number.

331945365609 is a deficient number, since it is larger than the sum of its proper divisors (282057289020).

331945365609 is a wasteful number, since it uses less digits than its factorization.

331945365609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 54.

The spelling of 331945365609 in words is "three hundred thirty-one billion, nine hundred forty-five million, three hundred sixty-five thousand, six hundred nine".