29437941441213 has 12 divisors (see below), whose sum is σ = 45022733969148. Its totient is φ = 18470865217920.

The previous prime is 29437941441137. The next prime is 29437941441229. The reversal of 29437941441213 is 31214414973492.

29437941441213 is a `hidden beast` number, since 2 + 9 + 4 + 3 + 7 + 9 + 414 + 4 + 1 + 213 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25129236590649 + 4308704850564 = 5012907^2 + 2075742^2 .

It is not a de Polignac number, because 29437941441213 - 2¹⁸ = 29437941179069 is a prime.

It is a super-2 number, since 2×29437941441213² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29437941441213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29437941441253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96202422858 + ... + 96202423163.

It is an arithmetic number, because the mean of its divisors is an integer number (3751894497429).

Almost surely, 2^{29437941441213} is an apocalyptic number.

It is an amenable number.

29437941441213 is a deficient number, since it is larger than the sum of its proper divisors (15584792527935).

29437941441213 is a wasteful number, since it uses less digits than its factorization.

29437941441213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192404846044 (or 192404846041 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 29437941441213 in words is "twenty-nine trillion, four hundred thirty-seven billion, nine hundred forty-one million, four hundred forty-one thousand, two hundred thirteen".