29384473561 has 27 divisors (see below), whose sum is σ = 31937628541. Its totient is φ = 27032090624.

The previous prime is 29384473523. The next prime is 29384473577. The reversal of 29384473561 is 16537448392.

It is a happy number.

The square root of 29384473561 is 171419.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11760318025 + 17624155536 = 108445^2 + 132756^2 .

It is not a de Polignac number, because 29384473561 - 2¹⁵ = 29384440793 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29384473499 and 29384473508.

It is not an unprimeable number, because it can be changed into a prime (29384473511) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 114336345 + ... + 114336601.

Almost surely, 2^29384473561 is an apocalyptic number.

29384473561 is the 171419-th square number.

29384473561 is the 85710-th centered octagonal number.

It is an amenable number.

29384473561 is a deficient number, since it is larger than the sum of its proper divisors (2553154980).

29384473561 is an frugal number, since it uses more digits than its factorization.

29384473561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 309 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 52.

The spelling of 29384473561 in words is "twenty-nine billion, three hundred eighty-four million, four hundred seventy-three thousand, five hundred sixty-one".