29180497329 has 9 divisors (see below), whose sum is σ = 42150347499. Its totient is φ = 19453323240.

The previous prime is 29180497321. The next prime is 29180497351. The reversal of 29180497329 is 92379408192.

The square root of 29180497329 is 170823.

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., 14938461729 + 14242035600 = 122223^2 + 119340^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 29180497329 - 2³ = 29180497321 is a prime.

It is a super-2 number, since 2×29180497329² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29180497321) 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, 483999 + ... + 540939.

Almost surely, 2^29180497329 is an apocalyptic number.

29180497329 is the 170823-rd square number.

29180497329 is the 85412-nd centered octagonal number.

It is an amenable number.

29180497329 is a deficient number, since it is larger than the sum of its proper divisors (12969850170).

29180497329 is an frugal number, since it uses more digits than its factorization.

29180497329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113888 (or 56944 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 29180497329 in words is "twenty-nine billion, one hundred eighty million, four hundred ninety-seven thousand, three hundred twenty-nine".