29146342729 has 21 divisors (see below), whose sum is σ = 35115819627. Its totient is φ = 24121111224.

The previous prime is 29146342721. The next prime is 29146342777. The reversal of 29146342729 is 92724364192.

It is a happy number.

The square root of 29146342729 is 170723.

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

It can be written as a sum of positive squares in 3 ways, for example, as 12448534329 + 16697808400 = 111573^2 + 129220^2 .

It is not a de Polignac number, because 29146342729 - 2³ = 29146342721 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

Its product of digits (1306368) is a multiple of the sum of its prime divisors (36).

It is not an unprimeable number, because it can be changed into a prime (29146342721) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1005046287 + ... + 1005046315.

It is an arithmetic number, because the mean of its divisors is an integer number (1672181887).

Almost surely, 2^29146342729 is an apocalyptic number.

29146342729 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

29146342729 is the 170723-rd square number.

29146342729 is the 85362-nd centered octagonal number.

It is an amenable number.

29146342729 is a deficient number, since it is larger than the sum of its proper divisors (5969476898).

29146342729 is an frugal number, since it uses more digits than its factorization.

29146342729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 36 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 49.

Multiplying 29146342729 by its sum of digits (49), we get a square (1428170793721 = 1195061²).

29146342729 divided by its sum of digits (49) gives a 6-th power (594823321 = 29⁶).

The spelling of 29146342729 in words is "twenty-nine billion, one hundred forty-six million, three hundred forty-two thousand, seven hundred twenty-nine".