29941864711056 has 45 divisors (see below), whose sum is σ = 83795819033329. Its totient is φ = 9980599682688.

The previous prime is 29941864711043. The next prime is 29941864711091. The reversal of 29941864711056 is 65011746814992.

The square root of 29941864711056 is 5471916.

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

29941864711056 is a `hidden beast` number, since 2 + 9 + 94 + 18 + 6 + 471 + 10 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22675691610000 + 7266173101056 = 4761900^2 + 2695584^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29941864710984 and 29941864711002.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 65434996 + ... + 65890988.

Almost surely, 2^{29941864711056} is an apocalyptic number.

29941864711056 is the 5471916-th square number.

It is an amenable number.

29941864711056 is an abundant number, since it is smaller than the sum of its proper divisors (53853954322273).

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

29941864711056 is an frugal number, since it uses more digits than its factorization.

29941864711056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912000 (or 455998 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 29941864711056 in words is "twenty-nine trillion, nine hundred forty-one billion, eight hundred sixty-four million, seven hundred eleven thousand, fifty-six".