14640000500 has 96 divisors (see below), whose sum is σ = 34191769248. Its totient is φ = 5456640000.

The previous prime is 14640000469. The next prime is 14640000523. The reversal of 14640000500 is 500004641.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 5012073616 + 9627926884 = 70796^2 + 98122^2 .

It is a super-2 number, since 2×14640000500² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 849974 + ... + 867026.

It is an arithmetic number, because the mean of its divisors is an integer number (356164263).

Almost surely, 2^14640000500 is an apocalyptic number.

14640000500 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 14640000500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17095884624).

14640000500 is an abundant number, since it is smaller than the sum of its proper divisors (19551768748).

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

14640000500 is a wasteful number, since it uses less digits than its factorization.

14640000500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17190 (or 17178 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The spelling of 14640000500 in words is "fourteen billion, six hundred forty million, five hundred", and thus it is an aban number.