13974256755072 has 192 divisors, whose sum is σ = 40926173184000. Its totient is φ = 4575526272000.

The previous prime is 13974256755059. The next prime is 13974256755091. The reversal of 13974256755072 is 27055765247931.

13974256755072 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 4 + 2 + 5 + 6 + 7 + 550 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 86850697 + ... + 87011447.

It is an arithmetic number, because the mean of its divisors is an integer number (213157152000).

Almost surely, 2^{13974256755072} is an apocalyptic number.

13974256755072 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 13974256755072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20463086592000).

13974256755072 is an abundant number, since it is smaller than the sum of its proper divisors (26951916428928).

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

13974256755072 is a wasteful number, since it uses less digits than its factorization.

13974256755072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162109 (or 162094 counting only the distinct ones).

The product of its (nonzero) digits is 111132000, while the sum is 63.

The spelling of 13974256755072 in words is "thirteen trillion, nine hundred seventy-four billion, two hundred fifty-six million, seven hundred fifty-five thousand, seventy-two".