13911348561012 has 288 divisors, whose sum is σ = 44053087583232. Its totient is φ = 3611115675648.

The previous prime is 13911348560983. The next prime is 13911348561073. The reversal of 13911348561012 is 21016584311931.

13911348561012 is a `hidden beast` number, since 1 + 3 + 9 + 1 + 13 + 4 + 8 + 5 + 610 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14225178 + ... + 15171630.

It is an arithmetic number, because the mean of its divisors is an integer number (152962109664).

Almost surely, 2^{13911348561012} is an apocalyptic number.

13911348561012 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 13911348561012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22026543791616).

13911348561012 is an abundant number, since it is smaller than the sum of its proper divisors (30141739022220).

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

13911348561012 is a wasteful number, since it uses less digits than its factorization.

13911348561012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946607 (or 946602 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 13911348561012 in words is "thirteen trillion, nine hundred eleven billion, three hundred forty-eight million, five hundred sixty-one thousand, twelve".