14145146375360 has 1008 divisors, whose sum is σ = 46507788042912. Its totient is φ = 4058640875520.

The previous prime is 14145146375357. The next prime is 14145146375369. The reversal of 14145146375360 is 6357364154141.

14145146375360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14145146375299 and 14145146375308.

It is not an unprimeable number, because it can be changed into a prime (14145146375369) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14478143192 + ... + 14478144168.

It is an arithmetic number, because the mean of its divisors is an integer number (46138678614).

Almost surely, 2^{14145146375360} is an apocalyptic number.

14145146375360 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 14145146375360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23253894021456).

14145146375360 is an abundant number, since it is smaller than the sum of its proper divisors (32362641667552).

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

14145146375360 is a wasteful number, since it uses less digits than its factorization.

14145146375360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 50.

The spelling of 14145146375360 in words is "fourteen trillion, one hundred forty-five billion, one hundred forty-six million, three hundred seventy-five thousand, three hundred sixty".