14345535200 has 144 divisors (see below), whose sum is σ = 36276678144. Its totient is φ = 5533785600.

The previous prime is 14345535199. The next prime is 14345535251. The reversal of 14345535200 is 253554341.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8604767 + ... + 8606433.

It is an arithmetic number, because the mean of its divisors is an integer number (251921376).

Almost surely, 2^14345535200 is an apocalyptic number.

14345535200 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 14345535200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18138339072).

14345535200 is an abundant number, since it is smaller than the sum of its proper divisors (21931142944).

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

14345535200 is a wasteful number, since it uses less digits than its factorization.

14345535200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The spelling of 14345535200 in words is "fourteen billion, three hundred forty-five million, five hundred thirty-five thousand, two hundred".