29134544166 has 192 divisors, whose sum is σ = 82017936000. Its totient is φ = 7418283264.

The previous prime is 29134544161. The next prime is 29134544167. The reversal of 29134544166 is 66144543192.

29134544166 is a `hidden beast` number, since 2 + 91 + 3 + 4 + 544 + 16 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29134544161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2321340 + ... + 2333856.

It is an arithmetic number, because the mean of its divisors is an integer number (427176750).

Almost surely, 2^29134544166 is an apocalyptic number.

29134544166 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 29134544166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41008968000).

29134544166 is an abundant number, since it is smaller than the sum of its proper divisors (52883391834).

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

29134544166 is a wasteful number, since it uses less digits than its factorization.

29134544166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12588 (or 12571 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 29134544166 in words is "twenty-nine billion, one hundred thirty-four million, five hundred forty-four thousand, one hundred sixty-six".