14005050000 has 240 divisors, whose sum is σ = 45877063680. Its totient is φ = 3680640000.

The previous prime is 14005049951. The next prime is 14005050001. The reversal of 14005050000 is 5050041.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×14005050000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (14005050001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10949361 + ... + 10950639.

It is an arithmetic number, because the mean of its divisors is an integer number (191154432).

Almost surely, 2^14005050000 is an apocalyptic number.

14005050000 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 14005050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22938531840).

14005050000 is an abundant number, since it is smaller than the sum of its proper divisors (31872013680).

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

14005050000 is an equidigital number, since it uses as much as digits as its factorization.

14005050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The spelling of 14005050000 in words is "fourteen billion, five million, fifty thousand".