14300134220032 has 72 divisors (see below), whose sum is σ = 28762260975000. Its totient is φ = 7095585226752.

The previous prime is 14300134220023. The next prime is 14300134220041. The reversal of 14300134220032 is 23002243100341.

It is an interprime number because it is at equal distance from previous prime (14300134220023) and next prime (14300134220041).

It can be written as a sum of positive squares in 4 ways, for example, as 1790500905216 + 12509633314816 = 1338096^2 + 3536896^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14300134219979 and 14300134220006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41673094 + ... + 42014842.

It is an arithmetic number, because the mean of its divisors is an integer number (399475846875).

Almost surely, 2^{14300134220032} 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 14300134220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14381130487500).

14300134220032 is an abundant number, since it is smaller than the sum of its proper divisors (14462126754968).

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

14300134220032 is a wasteful number, since it uses less digits than its factorization.

14300134220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343011 (or 342997 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 14300134220032 its reverse (23002243100341), we get a palindrome (37302377320373).

The spelling of 14300134220032 in words is "fourteen trillion, three hundred billion, one hundred thirty-four million, two hundred twenty thousand, thirty-two".