14345376000 has 576 divisors, whose sum is σ = 50967221760. Its totient is φ = 3568435200.

The previous prime is 14345375951. The next prime is 14345376011. The reversal of 14345376000 is 67354341.

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, 161183956 + ... + 161184044.

It is an arithmetic number, because the mean of its divisors is an integer number (88484760).

Almost surely, 2^14345376000 is an apocalyptic number.

14345376000 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 14345376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25483610880).

14345376000 is an abundant number, since it is smaller than the sum of its proper divisors (36621845760).

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

14345376000 is an equidigital number, since it uses as much as digits as its factorization.

14345376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

It can be divided in two parts, 143453 and 76000, that added together give a triangular number (219453 = T₆₆₂).

The spelling of 14345376000 in words is "fourteen billion, three hundred forty-five million, three hundred seventy-six thousand".