14378138346000 has 1280 divisors, whose sum is σ = 57266664698880. Its totient is φ = 3055288320000.

The previous prime is 14378138345981. The next prime is 14378138346071. The reversal of 14378138346000 is 64383187341.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1517797264 + ... + 1517806736.

It is an arithmetic number, because the mean of its divisors is an integer number (44739581796).

Almost surely, 2^{14378138346000} is an apocalyptic number.

14378138346000 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 14378138346000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28633332349440).

14378138346000 is an abundant number, since it is smaller than the sum of its proper divisors (42888526352880).

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

14378138346000 is a wasteful number, since it uses less digits than its factorization.

14378138346000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9613 (or 9597 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 14378138346000 in words is "fourteen trillion, three hundred seventy-eight billion, one hundred thirty-eight million, three hundred forty-six thousand".