2314014521000 has 512 divisors, whose sum is σ = 7142304798720. Its totient is φ = 681550848000.

The previous prime is 2314014520997. The next prime is 2314014521003. The reversal of 2314014521000 is 1254104132.

It is an interprime number because it is at equal distance from previous prime (2314014520997) and next prime (2314014521003).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (2314014521003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77426060 + ... + 77455940.

It is an arithmetic number, because the mean of its divisors is an integer number (13949814060).

Almost surely, 2^{2314014521000} is an apocalyptic number.

2314014521000 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 2314014521000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571152399360).

2314014521000 is an abundant number, since it is smaller than the sum of its proper divisors (4828290277720).

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

2314014521000 is a wasteful number, since it uses less digits than its factorization.

2314014521000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29982 (or 29968 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 2314014521000 its reverse (1254104132), we get a palindrome (2315268625132).

The spelling of 2314014521000 in words is "two trillion, three hundred fourteen billion, fourteen million, five hundred twenty-one thousand".