29416023121 has 9 divisors (see below), whose sum is σ = 30754711771. Its totient is φ = 28133292352.

The previous prime is 29416023113. The next prime is 29416023149. The reversal of 29416023121 is 12132061492.

The square root of 29416023121 is 171511.

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., 8870814225 + 20545208896 = 94185^2 + 143336^2 .

It is not a de Polignac number, because 29416023121 - 2³ = 29416023113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29416323121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3941025 + ... + 3948481.

Almost surely, 2^29416023121 is an apocalyptic number.

29416023121 is the 171511-st square number.

29416023121 is the 85756-th centered octagonal number.

It is an amenable number.

29416023121 is a deficient number, since it is larger than the sum of its proper divisors (1338688650).

29416023121 is an frugal number, since it uses more digits than its factorization.

29416023121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14960 (or 7480 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

Multiplying 29416023121 by its product of nonzero digits (5184), we get a square (152492663859264 = 12348792²).

The spelling of 29416023121 in words is "twenty-nine billion, four hundred sixteen million, twenty-three thousand, one hundred twenty-one".