16803144137472 has 864 divisors, whose sum is σ = 57989085041664. Its totient is φ = 4269765427200.

The previous prime is 16803144137467. The next prime is 16803144137489. The reversal of 16803144137472 is 27473144130861.

16803144137472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 9455904648 + ... + 9455906424.

It is an arithmetic number, because the mean of its divisors is an integer number (67116996576).

Almost surely, 2^{16803144137472} is an apocalyptic number.

16803144137472 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 16803144137472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28994542520832).

16803144137472 is an abundant number, since it is smaller than the sum of its proper divisors (41185940904192).

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

16803144137472 is a wasteful number, since it uses less digits than its factorization.

16803144137472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 16803144137472 in words is "sixteen trillion, eight hundred three billion, one hundred forty-four million, one hundred thirty-seven thousand, four hundred seventy-two".