29415981114 has 128 divisors (see below), whose sum is σ = 72445363200. Its totient is φ = 8789783040.

The previous prime is 29415981107. The next prime is 29415981137. The reversal of 29415981114 is 41118951492.

It is a happy number.

29415981114 is a `hidden beast` number, since 2 + 9 + 41 + 598 + 1 + 1 + 14 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 29415981114.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6588847 + ... + 6593309.

It is an arithmetic number, because the mean of its divisors is an integer number (565979400).

Almost surely, 2^29415981114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29415981114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36222681600).

29415981114 is an abundant number, since it is smaller than the sum of its proper divisors (43029382086).

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

29415981114 is a wasteful number, since it uses less digits than its factorization.

29415981114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4757 (or 4751 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The spelling of 29415981114 in words is "twenty-nine billion, four hundred fifteen million, nine hundred eighty-one thousand, one hundred fourteen".