14921159000 has 256 divisors, whose sum is σ = 39343449600. Its totient is φ = 5250624000.

The previous prime is 14921158981. The next prime is 14921159027. The reversal of 14921159000 is 95112941.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53866862 + ... + 53867138.

It is an arithmetic number, because the mean of its divisors is an integer number (153685350).

Almost surely, 2^14921159000 is an apocalyptic number.

14921159000 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 14921159000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19671724800).

14921159000 is an abundant number, since it is smaller than the sum of its proper divisors (24422290600).

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

14921159000 is a wasteful number, since it uses less digits than its factorization.

14921159000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 32.

The spelling of 14921159000 in words is "fourteen billion, nine hundred twenty-one million, one hundred fifty-nine thousand".