349651063969 has 9 divisors (see below), whose sum is σ = 350619349689. Its totient is φ = 348685449840.

The previous prime is 349651063967. The next prime is 349651063973. The reversal of 349651063969 is 969360156943.

The square root of 349651063969 is 591313.

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

It can be written as a sum of positive squares in 4 ways, for example, as 98938557025 + 250712506944 = 314545^2 + 500712^2 .

It is not a de Polignac number, because 349651063969 - 2¹ = 349651063967 is a prime.

It is a super-2 number, since 2×349651063969² (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 (349651063967) 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, 319899787 + ... + 319900879.

It is an arithmetic number, because the mean of its divisors is an integer number (38957705521).

Almost surely, 2^349651063969 is an apocalyptic number.

349651063969 is the 591313-rd square number.

349651063969 is the 295657-th centered octagonal number.

It is an amenable number.

349651063969 is a deficient number, since it is larger than the sum of its proper divisors (968285720).

349651063969 is an frugal number, since it uses more digits than its factorization.

349651063969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3268 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 28343520, while the sum is 61.

The spelling of 349651063969 in words is "three hundred forty-nine billion, six hundred fifty-one million, sixty-three thousand, nine hundred sixty-nine".