14125284000 has 576 divisors, whose sum is σ = 53538226560. Its totient is φ = 3516825600.

The previous prime is 14125283959. The next prime is 14125284001. The reversal of 14125284000 is 48252141.

14125284000 is a `hidden beast` number, since 1 + 4 + 1 + 252 + 8 + 400 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (14125284001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73187904 + ... + 73188096.

It is an arithmetic number, because the mean of its divisors is an integer number (92948310).

Almost surely, 2^14125284000 is an apocalyptic number.

14125284000 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 14125284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26769113280).

14125284000 is an abundant number, since it is smaller than the sum of its proper divisors (39412942560).

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

14125284000 is a wasteful number, since it uses less digits than its factorization.

14125284000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 14125284000 in words is "fourteen billion, one hundred twenty-five million, two hundred eighty-four thousand".