29539640641 has 27 divisors (see below), whose sum is σ = 35241869313. Its totient is φ = 24687550440.

The previous prime is 29539640633. The next prime is 29539640693. The reversal of 29539640641 is 14604693592.

The square root of 29539640641 is 171871.

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

It is not a de Polignac number, because 29539640641 - 2³ = 29539640633 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (29539640441) 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, 51732886 + ... + 51733456.

It is an arithmetic number, because the mean of its divisors is an integer number (1305254419).

Almost surely, 2^29539640641 is an apocalyptic number.

29539640641 is the 171871-st square number.

29539640641 is the 85936-th centered octagonal number.

It is an amenable number.

29539640641 is a deficient number, since it is larger than the sum of its proper divisors (5702228672).

29539640641 is an frugal number, since it uses more digits than its factorization.

29539640641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 49.

Multiplying 29539640641 by its sum of digits (49), we get a square (1447442391409 = 1203097²).

29539640641 divided by its sum of digits (49) gives a square (602849809 = 24553²).

The spelling of 29539640641 in words is "twenty-nine billion, five hundred thirty-nine million, six hundred forty thousand, six hundred forty-one".