13714362208272 has 200 divisors, whose sum is σ = 40228609926400. Its totient is φ = 4021800710400.

The previous prime is 13714362208249. The next prime is 13714362208277. The reversal of 13714362208272 is 27280226341731.

It is a super-3 number, since 3×13714362208272³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (13714362208277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21471054 + ... + 22100562.

It is an arithmetic number, because the mean of its divisors is an integer number (201143049632).

Almost surely, 2^{13714362208272} is an apocalyptic number.

13714362208272 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 13714362208272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20114304963200).

13714362208272 is an abundant number, since it is smaller than the sum of its proper divisors (26514247718128).

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

13714362208272 is an equidigital number, since it uses as much as digits as its factorization.

13714362208272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629595 (or 629556 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 13714362208272 in words is "thirteen trillion, seven hundred fourteen billion, three hundred sixty-two million, two hundred eight thousand, two hundred seventy-two".