16146117120000 has 1040 divisors, whose sum is σ = 61793601217920. Its totient is φ = 3671851008000.

The previous prime is 16146117119917. The next prime is 16146117120011. The reversal of 16146117120000 is 2171164161.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 16146117120000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12526079356 + ... + 12526080644.

It is an arithmetic number, because the mean of its divisors is an integer number (59416924248).

Almost surely, 2^{16146117120000} is an apocalyptic number.

16146117120000 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 16146117120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30896800608960).

16146117120000 is an abundant number, since it is smaller than the sum of its proper divisors (45647484097920).

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

16146117120000 is an equidigital number, since it uses as much as digits as its factorization.

16146117120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

Adding to 16146117120000 its reverse (2171164161), we get a palindrome (16148288284161).

The spelling of 16146117120000 in words is "sixteen trillion, one hundred forty-six billion, one hundred seventeen million, one hundred twenty thousand".