29014129000 has 64 divisors (see below), whose sum is σ = 68086221840. Its totient is φ = 11572633600.

The previous prime is 29014128959. The next prime is 29014129091. The reversal of 29014129000 is 92141092.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1297872676 + 27716256324 = 36026^2 + 166482^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 29014129000.

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, 311904 + ... + 394096.

Almost surely, 2^29014129000 is an apocalyptic number.

29014129000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29014129000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34043110920).

29014129000 is an abundant number, since it is smaller than the sum of its proper divisors (39072092840).

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

29014129000 is a wasteful number, since it uses less digits than its factorization.

29014129000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82567 (or 82553 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 29014129000 in words is "twenty-nine billion, fourteen million, one hundred twenty-nine thousand".