14793408000 has 640 divisors, whose sum is σ = 62507427840. Its totient is φ = 3378585600.

The previous prime is 14793407987. The next prime is 14793408001. The reversal of 14793408000 is 80439741.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14793408001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12095389 + ... + 12096611.

It is an arithmetic number, because the mean of its divisors is an integer number (97667856).

Almost surely, 2^14793408000 is an apocalyptic number.

14793408000 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 14793408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31253713920).

14793408000 is an abundant number, since it is smaller than the sum of its proper divisors (47714019840).

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

14793408000 is an equidigital number, since it uses as much as digits as its factorization.

14793408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 14793408000 in words is "fourteen billion, seven hundred ninety-three million, four hundred eight thousand".