29485812247056 has 405 divisors, whose sum is σ = 93794026452399. Its totient is φ = 8640349660800.

The previous prime is 29485812247051. The next prime is 29485812247061. The reversal of 29485812247056 is 65074221858492.

The square root of 29485812247056 is 5430084.

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

29485812247056 is a `hidden beast` number, since 2 + 9 + 4 + 8 + 581 + 2 + 2 + 47 + 0 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (29485812247051) and next prime (29485812247061).

It is a junction number, because it is equal to n+sod(n) for n = 29485812246984 and 29485812247002.

It is not an unprimeable number, because it can be changed into a prime (29485812247051) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 22219903065 + ... + 22219904391.

Almost surely, 2^{29485812247056} is an apocalyptic number.

29485812247056 is the 5430084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29485812247056

29485812247056 is an abundant number, since it is smaller than the sum of its proper divisors (64308214205343).

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

29485812247056 is a wasteful number, since it uses less digits than its factorization.

29485812247056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 29485812247056 in words is "twenty-nine trillion, four hundred eighty-five billion, eight hundred twelve million, two hundred forty-seven thousand, fifty-six".