29341311314392 has 96 divisors (see below), whose sum is σ = 69122028648960. Its totient is φ = 11429640446400.

The previous prime is 29341311314369. The next prime is 29341311314407.

29341311314392 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37880667 + ... + 38647477.

It is an arithmetic number, because the mean of its divisors is an integer number (720021131760).

Almost surely, 2^{29341311314392} is an apocalyptic number.

29341311314392 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29341311314392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34561014324480).

29341311314392 is an abundant number, since it is smaller than the sum of its proper divisors (39780717334568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29341311314392 is a wasteful number, since it uses less digits than its factorization.

29341311314392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772493 (or 772478 counting only the distinct ones).

The product of its digits is 419904, while the sum is 46.

The spelling of 29341311314392 in words is "twenty-nine trillion, three hundred forty-one billion, three hundred eleven million, three hundred fourteen thousand, three hundred ninety-two".