29866406761 has 9 divisors (see below), whose sum is σ = 30523683799. Its totient is φ = 29223001624.

The previous prime is 29866406747. The next prime is 29866406789. The reversal of 29866406761 is 16760466892.

The square root of 29866406761 is 172819.

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

It can be written as a sum of positive squares in only one way, i.e., 23837816025 + 6028590736 = 154395^2 + 77644^2 .

It is not a de Polignac number, because 29866406761 - 2⁹ = 29866406249 is a prime.

It is a super-2 number, since 2×29866406761² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29866406711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8120655 + ... + 8124331.

Almost surely, 2^29866406761 is an apocalyptic number.

29866406761 is the 172819-th square number.

29866406761 is the 86410-th centered octagonal number.

It is an amenable number.

29866406761 is a deficient number, since it is larger than the sum of its proper divisors (657277038).

29866406761 is an frugal number, since it uses more digits than its factorization.

29866406761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7448 (or 3724 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 55.

The spelling of 29866406761 in words is "twenty-nine billion, eight hundred sixty-six million, four hundred six thousand, seven hundred sixty-one".