13849265274624 has 288 divisors, whose sum is σ = 44427050821440. Its totient is φ = 4230204162048.

The previous prime is 13849265274563. The next prime is 13849265274641. The reversal of 13849265274624 is 42647256294831.

13849265274624 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 92 + 65 + 27 + 462 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 11747764 + ... + 12872780.

It is an arithmetic number, because the mean of its divisors is an integer number (154260593130).

Almost surely, 2^{13849265274624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13849265274624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22213525410720).

13849265274624 is an abundant number, since it is smaller than the sum of its proper divisors (30577785546816).

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

13849265274624 is a wasteful number, since it uses less digits than its factorization.

13849265274624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125192 (or 1125172 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 13849265274624 in words is "thirteen trillion, eight hundred forty-nine billion, two hundred sixty-five million, two hundred seventy-four thousand, six hundred twenty-four".