29479516416 has 405 divisors, whose sum is σ = 100533853329. Its totient is φ = 8307339264.

The previous prime is 29479516399. The next prime is 29479516453. The reversal of 29479516416 is 61461597492.

The square root of 29479516416 is 171696.

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

29479516416 is a `hidden beast` number, since 2 + 9 + 479 + 5 + 164 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16734009600 + 12745506816 = 129360^2 + 112896^2 .

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 403828956 + ... + 403829028.

Almost surely, 2^29479516416 is an apocalyptic number.

29479516416 is the 171696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29479516416

29479516416 is an abundant number, since it is smaller than the sum of its proper divisors (71054336913).

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

29479516416 is an frugal number, since it uses more digits than its factorization.

29479516416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 85 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 29479516416 in words is "twenty-nine billion, four hundred seventy-nine million, five hundred sixteen thousand, four hundred sixteen".