29845854892 has 48 divisors (see below), whose sum is σ = 63011773440. Its totient is φ = 12083461632.

The previous prime is 29845854889. The next prime is 29845854893.

29845854892 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (29845854893) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108333 + ... + 267259.

It is an arithmetic number, because the mean of its divisors is an integer number (1312745280).

Almost surely, 2^29845854892 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 29845854892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31505886720).

29845854892 is an abundant number, since it is smaller than the sum of its proper divisors (33165918548).

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

29845854892 is a wasteful number, since it uses less digits than its factorization.

29845854892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159310 (or 159308 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 64.

The spelling of 29845854892 in words is "twenty-nine billion, eight hundred forty-five million, eight hundred fifty-four thousand, eight hundred ninety-two".