14137237161216 has 432 divisors, whose sum is σ = 44108170142400. Its totient is φ = 4329013248000.

The previous prime is 14137237161199. The next prime is 14137237161221. The reversal of 14137237161216 is 61216173273141.

14137237161216 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 7 + 2 + 371 + 61 + 216 = 666.

It is a super-2 number, since 2×14137237161216² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6280424091 + ... + 6280426341.

It is an arithmetic number, because the mean of its divisors is an integer number (102102245700).

Almost surely, 2^{14137237161216} is an apocalyptic number.

14137237161216 is a gapful number since it is divisible by the number (16) 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 14137237161216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22054085071200).

14137237161216 is an abundant number, since it is smaller than the sum of its proper divisors (29970932981184).

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

14137237161216 is a wasteful number, since it uses less digits than its factorization.

14137237161216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202 (or 3185 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The spelling of 14137237161216 in words is "fourteen trillion, one hundred thirty-seven billion, two hundred thirty-seven million, one hundred sixty-one thousand, two hundred sixteen".