2014133144000 has 112 divisors (see below), whose sum is σ = 4994876228160. Its totient is φ = 804542745600.

The previous prime is 2014133143973. The next prime is 2014133144027. The reversal of 2014133144000 is 4413314102.

It is an interprime number because it is at equal distance from previous prime (2014133143973) and next prime (2014133144027).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5642846 + ... + 5989154.

It is an arithmetic number, because the mean of its divisors is an integer number (44597109180).

Almost surely, 2^{2014133144000} is an apocalyptic number.

2014133144000 is a gapful number since it is divisible by the number (20) 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 2014133144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497438114080).

2014133144000 is an abundant number, since it is smaller than the sum of its proper divisors (2980743084160).

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

2014133144000 is an equidigital number, since it uses as much as digits as its factorization.

2014133144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347063 (or 347043 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 2014133144000 its reverse (4413314102), we get a palindrome (2018546458102).

The spelling of 2014133144000 in words is "two trillion, fourteen billion, one hundred thirty-three million, one hundred forty-four thousand".