29705901316 has 81 divisors (see below), whose sum is σ = 65551522869. Its totient is φ = 11739375648.

The previous prime is 29705901299. The next prime is 29705901353. The reversal of 29705901316 is 61310950792.

The square root of 29705901316 is 172354.

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., 4394364100 + 25311537216 = 66290^2 + 159096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31367955 + ... + 31368901.

Almost surely, 2^29705901316 is an apocalyptic number.

29705901316 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

29705901316 is the 172354-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29705901316

29705901316 is an abundant number, since it is smaller than the sum of its proper divisors (35845621553).

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

29705901316 is an equidigital number, since it uses as much as digits as its factorization.

29705901316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 43.

The spelling of 29705901316 in words is "twenty-nine billion, seven hundred five million, nine hundred one thousand, three hundred sixteen".