29485942569216 has 405 divisors, whose sum is σ = 102295305500619. Its totient is φ = 8422991152128.

The previous prime is 29485942569163. The next prime is 29485942569229. The reversal of 29485942569216 is 61296524958492.

The square root of 29485942569216 is 5430096.

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

29485942569216 is a `hidden beast` number, since 2 + 9 + 4 + 8 + 5 + 9 + 42 + 569 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5473534075 + ... + 5473539461.

Almost surely, 2^{29485942569216} is an apocalyptic number.

29485942569216 is the 5430096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29485942569216

29485942569216 is an abundant number, since it is smaller than the sum of its proper divisors (72809362931403).

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

29485942569216 is an frugal number, since it uses more digits than its factorization.

29485942569216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10816 (or 5399 counting only the distinct ones).

The product of its digits is 671846400, while the sum is 72.

The spelling of 29485942569216 in words is "twenty-nine trillion, four hundred eighty-five billion, nine hundred forty-two million, five hundred sixty-nine thousand, two hundred sixteen".