14929434000 has 960 divisors, whose sum is σ = 62103525120. Its totient is φ = 3433881600.

The previous prime is 14929433999. The next prime is 14929434011. The reversal of 14929434000 is 43492941.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 107405931 + ... + 107406069.

It is an arithmetic number, because the mean of its divisors is an integer number (64691172).

Almost surely, 2^14929434000 is an apocalyptic number.

14929434000 is a gapful number since it is divisible by the number (10) 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 14929434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31051762560).

14929434000 is an abundant number, since it is smaller than the sum of its proper divisors (47174091120).

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

14929434000 is a wasteful number, since it uses less digits than its factorization.

14929434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 14929434000 in words is "fourteen billion, nine hundred twenty-nine million, four hundred thirty-four thousand".