4629068431729 has 9 divisors (see below), whose sum is σ = 5384852225931. Its totient is φ = 3967760032320.

The previous prime is 4629068431727. The next prime is 4629068431787. The reversal of 4629068431729 is 9271348609264.

It is a happy number.

The square root of 4629068431729 is 2151527.

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., 142297191729 + 4486771240000 = 377223^2 + 2118200^2 .

It is not a de Polignac number, because 4629068431729 - 2¹ = 4629068431727 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4629068431727) 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, 14907009 + ... + 15214369.

Almost surely, 2^{4629068431729} is an apocalyptic number.

4629068431729 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4629068431729 is the 2151527-th square number.

4629068431729 is the 1075764-th centered octagonal number.

It is an amenable number.

4629068431729 is a deficient number, since it is larger than the sum of its proper divisors (755783794202).

4629068431729 is an frugal number, since it uses more digits than its factorization.

4629068431729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614736 (or 307368 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 61.

The spelling of 4629068431729 in words is "four trillion, six hundred twenty-nine billion, sixty-eight million, four hundred thirty-one thousand, seven hundred twenty-nine".