29994034775761 has 27 divisors (see below), whose sum is σ = 35008387526043. Its totient is φ = 25697901655440.

The previous prime is 29994034775689. The next prime is 29994034775777. The reversal of 29994034775761 is 16757743049992.

The square root of 29994034775761 is 5476681.

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., 18040143422161 + 11953891353600 = 4247369^2 + 3457440^2 .

It is a de Polignac number, because none of the positive numbers 2^k-29994034775761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29994034775261) 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, 13149509941 + ... + 13149512221.

It is an arithmetic number, because the mean of its divisors is an integer number (1296606945409).

Almost surely, 2^{29994034775761} is an apocalyptic number.

29994034775761 is the 5476681-st square number.

29994034775761 is the 2738341-st centered octagonal number.

It is an amenable number.

29994034775761 is a deficient number, since it is larger than the sum of its proper divisors (5014352750282).

29994034775761 is an frugal number, since it uses more digits than its factorization.

29994034775761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4618 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 720135360, while the sum is 73.

The spelling of 29994034775761 in words is "twenty-nine trillion, nine hundred ninety-four billion, thirty-four million, seven hundred seventy-five thousand, seven hundred sixty-one".