29964994816 has 81 divisors (see below), whose sum is σ = 61982226873. Its totient is φ = 14457646080.

The previous prime is 29964994789. The next prime is 29964994819. The reversal of 29964994816 is 61849946992.

The square root of 29964994816 is 173104.

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., 21994076416 + 7970918400 = 148304^2 + 89280^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29964994819) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 85859410 + ... + 85859758.

Almost surely, 2^29964994816 is an apocalyptic number.

29964994816 is the 173104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29964994816

29964994816 is an abundant number, since it is smaller than the sum of its proper divisors (32017232057).

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

29964994816 is an frugal number, since it uses more digits than its factorization.

29964994816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 382 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 67.

The spelling of 29964994816 in words is "twenty-nine billion, nine hundred sixty-four million, nine hundred ninety-four thousand, eight hundred sixteen".