16146915531744 has 192 divisors, whose sum is σ = 44568621135360. Its totient is φ = 5108731330560.

The previous prime is 16146915531689. The next prime is 16146915531749. The reversal of 16146915531744 is 44713551964161.

It is a happy number.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16146915531749) 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, 913226584 + ... + 913244264.

It is an arithmetic number, because the mean of its divisors is an integer number (232128235080).

Almost surely, 2^{16146915531744} 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 16146915531744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22284310567680).

16146915531744 is an abundant number, since it is smaller than the sum of its proper divisors (28421705603616).

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

16146915531744 is a wasteful number, since it uses less digits than its factorization.

16146915531744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20873 (or 20865 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 57.

The spelling of 16146915531744 in words is "sixteen trillion, one hundred forty-six billion, nine hundred fifteen million, five hundred thirty-one thousand, seven hundred forty-four".