14363765000 has 160 divisors (see below), whose sum is σ = 36530275320. Its totient is φ = 5261568000.

The previous prime is 14363764997. The next prime is 14363765011. The reversal of 14363765000 is 56736341.

It can be written as a sum of positive squares in 20 ways, for example, as 6886012324 + 7477752676 = 82982^2 + 86474^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8904194 + ... + 8905806.

Almost surely, 2^14363765000 is an apocalyptic number.

14363765000 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 14363765000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18265137660).

14363765000 is an abundant number, since it is smaller than the sum of its proper divisors (22166510320).

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

14363765000 is a wasteful number, since it uses less digits than its factorization.

14363765000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

The spelling of 14363765000 in words is "fourteen billion, three hundred sixty-three million, seven hundred sixty-five thousand".