29166648966 has 384 divisors, whose sum is σ = 84487603200. Its totient is φ = 7489407744.

The previous prime is 29166648941. The next prime is 29166648971. The reversal of 29166648966 is 66984666192.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 93184026 + ... + 93184338.

It is an arithmetic number, because the mean of its divisors is an integer number (220019800).

Almost surely, 2^29166648966 is an apocalyptic number.

29166648966 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 29166648966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42243801600).

29166648966 is an abundant number, since it is smaller than the sum of its proper divisors (55320954234).

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

29166648966 is a wasteful number, since it uses less digits than its factorization.

29166648966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 381 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 29166648966 in words is "twenty-nine billion, one hundred sixty-six million, six hundred forty-eight thousand, nine hundred sixty-six".