334631011729 has 27 divisors (see below), whose sum is σ = 407038332603. Its totient is φ = 274279502112.

The previous prime is 334631011723. The next prime is 334631011739. The reversal of 334631011729 is 927110136433.

The square root of 334631011729 is 578473.

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., 106292300625 + 228338711104 = 326025^2 + 477848^2 .

It is not a de Polignac number, because 334631011729 - 2¹⁷ = 334630880657 is a prime.

It is a super-2 number, since 2×334631011729² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334631011691 and 334631011700.

It is not an unprimeable number, because it can be changed into a prime (334631011723) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 93132357 + ... + 93135949.

Almost surely, 2^334631011729 is an apocalyptic number.

334631011729 is the 578473-rd square number.

334631011729 is the 289237-th centered octagonal number.

It is an amenable number.

334631011729 is a deficient number, since it is larger than the sum of its proper divisors (72407320874).

334631011729 is an frugal number, since it uses more digits than its factorization.

334631011729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7246 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The spelling of 334631011729 in words is "three hundred thirty-four billion, six hundred thirty-one million, eleven thousand, seven hundred twenty-nine".