14714460000 has 600 divisors, whose sum is σ = 56011120704. Its totient is φ = 3784320000.

The previous prime is 14714459989. The next prime is 14714460011. The reversal of 14714460000 is 6441741.

14714460000 is a `hidden beast` number, since 1 + 47 + 14 + 4 + 600 + 0 + 0 = 666.

14714460000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14714459989) and next prime (14714460011).

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 50219854 + ... + 50220146.

Almost surely, 2^14714460000 is an apocalyptic number.

14714460000 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 14714460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28005560352).

14714460000 is an abundant number, since it is smaller than the sum of its proper divisors (41296660704).

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

14714460000 is an equidigital number, since it uses as much as digits as its factorization.

14714460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 14714460000 in words is "fourteen billion, seven hundred fourteen million, four hundred sixty thousand".