14628418000 has 160 divisors (see below), whose sum is σ = 40914881280. Its totient is φ = 4954636800.

The previous prime is 14628417997. The next prime is 14628418019. The reversal of 14628418000 is 81482641.

It is a super-2 number, since 2×14628418000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1155706 + ... + 1168294.

It is an arithmetic number, because the mean of its divisors is an integer number (255718008).

Almost surely, 2^14628418000 is an apocalyptic number.

14628418000 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 14628418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20457440640).

14628418000 is an abundant number, since it is smaller than the sum of its proper divisors (26286463280).

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

14628418000 is a wasteful number, since it uses less digits than its factorization.

14628418000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12702 (or 12686 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 14628418000 in words is "fourteen billion, six hundred twenty-eight million, four hundred eighteen thousand".