16168875963744 has 384 divisors, whose sum is σ = 52553214443520. Its totient is φ = 4249528012800.

The previous prime is 16168875963739. The next prime is 16168875963761. The reversal of 16168875963744 is 44736957886161.

16168875963744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16168875963744² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110382777 + ... + 110529159.

It is an arithmetic number, because the mean of its divisors is an integer number (136857329280).

Almost surely, 2^{16168875963744} is an apocalyptic number.

16168875963744 is a gapful number since it is divisible by the number (14) 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 16168875963744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26276607221760).

16168875963744 is an abundant number, since it is smaller than the sum of its proper divisors (36384338479776).

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

16168875963744 is a wasteful number, since it uses less digits than its factorization.

16168875963744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146674 (or 146666 counting only the distinct ones).

The product of its digits is 1463132160, while the sum is 75.

The spelling of 16168875963744 in words is "sixteen trillion, one hundred sixty-eight billion, eight hundred seventy-five million, nine hundred sixty-three thousand, seven hundred forty-four".