14345408000 has 640 divisors, whose sum is σ = 46329034752. Its totient is φ = 4300800000.

The previous prime is 14345407991. The next prime is 14345408017. The reversal of 14345408000 is 80454341.

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

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202047965 + ... + 202048035.

Almost surely, 2^14345408000 is an apocalyptic number.

14345408000 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 14345408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23164517376).

14345408000 is an abundant number, since it is smaller than the sum of its proper divisors (31983626752).

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

14345408000 is an equidigital number, since it uses as much as digits as its factorization.

14345408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The spelling of 14345408000 in words is "fourteen billion, three hundred forty-five million, four hundred eight thousand".