29826149406144 has 1792 divisors, whose sum is σ = 109076186419200. Its totient is φ = 7116674826240.

The previous prime is 29826149406143. The next prime is 29826149406199. The reversal of 29826149406144 is 44160494162892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29826149406143) 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 255 ways as a sum of consecutive naturals, for example, 52234937379 + ... + 52234937949.

It is an arithmetic number, because the mean of its divisors is an integer number (60868407600).

Almost surely, 2^{29826149406144} is an apocalyptic number.

29826149406144 is a gapful number since it is divisible by the number (24) 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 29826149406144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54538093209600).

29826149406144 is an abundant number, since it is smaller than the sum of its proper divisors (79250037013056).

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

29826149406144 is a wasteful number, since it uses less digits than its factorization.

29826149406144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 60.

The spelling of 29826149406144 in words is "twenty-nine trillion, eight hundred twenty-six billion, one hundred forty-nine million, four hundred six thousand, one hundred forty-four".