29146864192 has 112 divisors (see below), whose sum is σ = 59852316160. Its totient is φ = 14077919232.

The previous prime is 29146864169. The next prime is 29146864213.

29146864192 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50514208 + ... + 50514784.

It is an arithmetic number, because the mean of its divisors is an integer number (534395680).

Almost surely, 2^29146864192 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 29146864192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29926158080).

29146864192 is an abundant number, since it is smaller than the sum of its proper divisors (30705451968).

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

29146864192 is a wasteful number, since it uses less digits than its factorization.

29146864192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 858 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 52.

The spelling of 29146864192 in words is "twenty-nine billion, one hundred forty-six million, eight hundred sixty-four thousand, one hundred ninety-two".