29013477325056 has 2187 divisors, whose sum is σ = 110761261220883. Its totient is φ = 7280710778880.

The previous prime is 29013477325051. The next prime is 29013477325061. The reversal of 29013477325056 is 65052377431092.

The square root of 29013477325056 is 5386416.

It is a perfect power (a square), and thus also a powerful number.

29013477325056 is a `hidden beast` number, since 2 + 9 + 0 + 1 + 34 + 77 + 32 + 505 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (29013477325051) and next prime (29013477325061).

It can be written as a sum of positive squares in 4 ways, for example, as 2043984902400 + 26969492422656 = 1429680^2 + 5193216^2 .

It is a junction number, because it is equal to n+sod(n) for n = 29013477324993 and 29013477325011.

It is not an unprimeable number, because it can be changed into a prime (29013477325051) 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 242 ways as a sum of consecutive naturals, for example, 707645788396 + ... + 707645788436.

Almost surely, 2^{29013477325056} is an apocalyptic number.

29013477325056 is the 5386416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29013477325056

29013477325056 is an abundant number, since it is smaller than the sum of its proper divisors (81747783895827).

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

29013477325056 is a wasteful number, since it uses less digits than its factorization.

29013477325056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 29013477325056 in words is "twenty-nine trillion, thirteen billion, four hundred seventy-seven million, three hundred twenty-five thousand, fifty-six".