14357355328512 has 2112 divisors, whose sum is σ = 54026965555200. Its totient is φ = 3731488653312.

The previous prime is 14357355328499. The next prime is 14357355328517. The reversal of 14357355328512 is 21582355375341.

14357355328512 is a `hidden beast` number, since 1 + 4 + 3 + 5 + 7 + 3 + 553 + 2 + 85 + 1 + 2 = 666.

It is a super-2 number, since 2×14357355328512² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14357355328517) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 243345005539 + ... + 243345005597.

It is an arithmetic number, because the mean of its divisors is an integer number (25580949600).

Almost surely, 2^{14357355328512} is an apocalyptic number.

14357355328512 is a gapful number since it is divisible by the number (12) 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 14357355328512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27013482777600).

14357355328512 is an abundant number, since it is smaller than the sum of its proper divisors (39669610226688).

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

14357355328512 is an frugal number, since it uses more digits than its factorization.

14357355328512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 133 counting only the distinct ones).

The product of its digits is 15120000, while the sum is 54.

The spelling of 14357355328512 in words is "fourteen trillion, three hundred fifty-seven billion, three hundred fifty-five million, three hundred twenty-eight thousand, five hundred twelve".