354064271089 has 27 divisors (see below), whose sum is σ = 379977547467. Its totient is φ = 329886295200.

The previous prime is 354064271087. The next prime is 354064271137. The reversal of 354064271089 is 980172460453.

It is a happy number.

The square root of 354064271089 is 595033.

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., 17060800689 + 337003470400 = 130617^2 + 580520^2 .

It is not a de Polignac number, because 354064271089 - 2¹ = 354064271087 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (354064271083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 561115804 + ... + 561116434.

It is a 1-persistent number, because it is pandigital, but 2⋅354064271089 = 708128542178 is not.

Almost surely, 2^354064271089 is an apocalyptic number.

354064271089 is the 595033-rd square number.

354064271089 is the 297517-th centered octagonal number.

It is an amenable number.

354064271089 is a deficient number, since it is larger than the sum of its proper divisors (25913276378).

354064271089 is an frugal number, since it uses more digits than its factorization.

354064271089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 354064271089 by its sum of digits (49), we get a square (17349149283361 = 4165231²).

The spelling of 354064271089 in words is "three hundred fifty-four billion, sixty-four million, two hundred seventy-one thousand, eighty-nine".