29915450966016 has 2128 divisors, whose sum is σ = 118826754485760. Its totient is φ = 7292489564160.

The previous prime is 29915450965993. The next prime is 29915450966029. The reversal of 29915450966016 is 61066905451992.

29915450966016 is a `hidden beast` number, since 2 + 9 + 9 + 1 + 54 + 509 + 6 + 60 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (2128).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 279583653835 + ... + 279583653941.

Almost surely, 2^{29915450966016} 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 29915450966016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59413377242880).

29915450966016 is an abundant number, since it is smaller than the sum of its proper divisors (88911303519744).

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

29915450966016 is an frugal number, since it uses more digits than its factorization.

29915450966016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 63.

The spelling of 29915450966016 in words is "twenty-nine trillion, nine hundred fifteen billion, four hundred fifty million, nine hundred sixty-six thousand, sixteen".