14564533310140 has 192 divisors, whose sum is σ = 34232267317248. Its totient is φ = 5159369779200.

The previous prime is 14564533310137. The next prime is 14564533310147. The reversal of 14564533310140 is 4101333546541.

It is a junction number, because it is equal to n+sod(n) for n = 14564533310093 and 14564533310102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14564533310147) 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, 9901109605 + ... + 9901111075.

It is an arithmetic number, because the mean of its divisors is an integer number (178293058944).

Almost surely, 2^{14564533310140} is an apocalyptic number.

14564533310140 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 14564533310140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17116133658624).

14564533310140 is an abundant number, since it is smaller than the sum of its proper divisors (19667734007108).

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

14564533310140 is a wasteful number, since it uses less digits than its factorization.

14564533310140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3588 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

Adding to 14564533310140 its reverse (4101333546541), we get a palindrome (18665866856681).

The spelling of 14564533310140 in words is "fourteen trillion, five hundred sixty-four billion, five hundred thirty-three million, three hundred ten thousand, one hundred forty".