4513214023344 has 360 divisors, whose sum is σ = 14397346323360. Its totient is φ = 1311796518912.

The previous prime is 4513214023327. The next prime is 4513214023361. The reversal of 4513214023344 is 4433204123154.

4513214023344 is a `hidden beast` number, since 45 + 132 + 140 + 2 + 3 + 344 = 666.

It is an interprime number because it is at equal distance from previous prime (4513214023327) and next prime (4513214023361).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4513214023299 and 4513214023308.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 238545117 + ... + 238564035.

It is an arithmetic number, because the mean of its divisors is an integer number (39992628676).

Almost surely, 2^{4513214023344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4513214023344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7198673161680).

4513214023344 is an abundant number, since it is smaller than the sum of its proper divisors (9884132300016).

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

4513214023344 is a wasteful number, since it uses less digits than its factorization.

4513214023344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19337 (or 19309 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 4513214023344 its reverse (4433204123154), we get a palindrome (8946418146498).

The spelling of 4513214023344 in words is "four trillion, five hundred thirteen billion, two hundred fourteen million, twenty-three thousand, three hundred forty-four".