29330148646656 has 1512 divisors, whose sum is σ = 109812475994256. Its totient is φ = 7720082472960.

The previous prime is 29330148646637. The next prime is 29330148646693. The reversal of 29330148646656 is 65664684103392.

29330148646656 is a `hidden beast` number, since 2 + 9 + 3 + 30 + 14 + 86 + 466 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 29330148646593 and 29330148646602.

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 167 ways as a sum of consecutive naturals, for example, 5897875786 + ... + 5897880758.

It is an arithmetic number, because the mean of its divisors is an integer number (72627298938).

Almost surely, 2^{29330148646656} is an apocalyptic number.

29330148646656 is a gapful number since it is divisible by the number (26) 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 29330148646656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54906237997128).

29330148646656 is an abundant number, since it is smaller than the sum of its proper divisors (80482327347600).

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

29330148646656 is a wasteful number, since it uses less digits than its factorization.

29330148646656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5061 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 29330148646656 in words is "twenty-nine trillion, three hundred thirty billion, one hundred forty-eight million, six hundred forty-six thousand, six hundred fifty-six".