29981721166848 has 528 divisors, whose sum is σ = 95062096359360. Its totient is φ = 9025899724800.

The previous prime is 29981721166843. The next prime is 29981721166879. The reversal of 29981721166848 is 84866112718992.

29981721166848 is a `hidden beast` number, since 299 + 8 + 172 + 1 + 166 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (29981721166843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10796441236 + ... + 10796444012.

Almost surely, 2^{29981721166848} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29981721166848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47531048179680).

29981721166848 is an abundant number, since it is smaller than the sum of its proper divisors (65080375192512).

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

29981721166848 is a wasteful number, since it uses less digits than its factorization.

29981721166848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474 (or 3453 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 72.

The spelling of 29981721166848 in words is "twenty-nine trillion, nine hundred eighty-one billion, seven hundred twenty-one million, one hundred sixty-six thousand, eight hundred forty-eight".