29540235918649 has 9 divisors (see below), whose sum is σ = 30594153116397. Its totient is φ = 28521454911264.

The previous prime is 29540235918581. The next prime is 29540235918703. The reversal of 29540235918649 is 94681953204592.

The square root of 29540235918649 is 5435093.

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

It can be written as a sum of positive squares in 4 ways, for example, as 852085917225 + 28688150001424 = 923085^2 + 5356132^2 .

It is not a de Polignac number, because 29540235918649 - 2²³ = 29540227530041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29040235918649) 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, 157523989 + ... + 157711405.

Almost surely, 2^{29540235918649} is an apocalyptic number.

29540235918649 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

29540235918649 is the 5435093-rd square number.

29540235918649 is the 2717547-th centered octagonal number.

It is an amenable number.

29540235918649 is a deficient number, since it is larger than the sum of its proper divisors (1053917197748).

29540235918649 is an frugal number, since it uses more digits than its factorization.

29540235918649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374892 (or 187446 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 67.

The spelling of 29540235918649 in words is "twenty-nine trillion, five hundred forty billion, two hundred thirty-five million, nine hundred eighteen thousand, six hundred forty-nine".