13161456244000 has 192 divisors, whose sum is σ = 33875044100352. Its totient is φ = 5016084480000.

The previous prime is 13161456243989. The next prime is 13161456244003. The reversal of 13161456244000 is 44265416131.

13161456244000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13161456244003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23365675 + ... + 23922325.

It is an arithmetic number, because the mean of its divisors is an integer number (176432521356).

Almost surely, 2^{13161456244000} is an apocalyptic number.

13161456244000 is a gapful number since it is divisible by the number (10) 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 13161456244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16937522050176).

13161456244000 is an abundant number, since it is smaller than the sum of its proper divisors (20713587856352).

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

13161456244000 is a wasteful number, since it uses less digits than its factorization.

13161456244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556956 (or 556938 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 13161456244000 in words is "thirteen trillion, one hundred sixty-one billion, four hundred fifty-six million, two hundred forty-four thousand".