29948759722116 has 81 divisors (see below), whose sum is σ = 76500442581381. Its totient is φ = 9878952478464.

The previous prime is 29948759722099. The next prime is 29948759722117. The reversal of 29948759722116 is 61122795784992.

It is a happy number.

The square root of 29948759722116 is 5472546.

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

29948759722116 is a `hidden beast` number, since 2 + 9 + 9 + 4 + 8 + 7 + 597 + 2 + 21 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13448135808900 + 16500623913216 = 3667170^2 + 4062096^2 .

It is not an unprimeable number, because it can be changed into a prime (29948759722117) 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, 3185017071 + ... + 3185026473.

Almost surely, 2^{29948759722116} is an apocalyptic number.

29948759722116 is the 5472546-th square number.

It is an amenable number.

29948759722116 is an abundant number, since it is smaller than the sum of its proper divisors (46551682859265).

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

29948759722116 is an frugal number, since it uses more digits than its factorization.

29948759722116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19010 (or 9505 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 72.

The spelling of 29948759722116 in words is "twenty-nine trillion, nine hundred forty-eight billion, seven hundred fifty-nine million, seven hundred twenty-two thousand, one hundred sixteen".