14413233256520 has 192 divisors, whose sum is σ = 37818744914160. Its totient is φ = 4929340416000.

The previous prime is 14413233256501. The next prime is 14413233256559. The reversal of 14413233256520 is 2565233231441.

It can be written as a sum of positive squares in 8 ways, for example, as 37169526436 + 14376063730084 = 192794^2 + 3791578^2 .

It is a super-3 number, since 3×14413233256520³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1573320740 + ... + 1573329900.

Almost surely, 2^{14413233256520} is an apocalyptic number.

14413233256520 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 14413233256520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18909372457080).

14413233256520 is an abundant number, since it is smaller than the sum of its proper divisors (23405511657640).

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

14413233256520 is a wasteful number, since it uses less digits than its factorization.

14413233256520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11104 (or 11093 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 41.

Adding to 14413233256520 its reverse (2565233231441), we get a palindrome (16978466487961).

The spelling of 14413233256520 in words is "fourteen trillion, four hundred thirteen billion, two hundred thirty-three million, two hundred fifty-six thousand, five hundred twenty".