14384601000 has 1536 divisors, whose sum is σ = 68119833600. Its totient is φ = 2737152000.

The previous prime is 14384600969. The next prime is 14384601001. The reversal of 14384601000 is 10648341.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14384601001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 388772982 + ... + 388773018.

It is an arithmetic number, because the mean of its divisors is an integer number (44348850).

Almost surely, 2^14384601000 is an apocalyptic number.

14384601000 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 14384601000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34059916800).

14384601000 is an abundant number, since it is smaller than the sum of its proper divisors (53735232600).

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

14384601000 is a wasteful number, since it uses less digits than its factorization.

14384601000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 14384601000 in words is "fourteen billion, three hundred eighty-four million, six hundred one thousand".