16644848745744 has 300 divisors, whose sum is σ = 49606619210148. Its totient is φ = 5388040166400.

The previous prime is 16644848745691. The next prime is 16644848745761. The reversal of 16644848745744 is 44754784844661.

16644848745744 is a `hidden beast` number, since 1 + 6 + 6 + 4 + 4 + 8 + 48 + 7 + 4 + 574 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5871355455744 + 10773493290000 = 2423088^2 + 3282300^2 .

It is a super-2 number, since 2×16644848745744² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 959846514 + ... + 959863854.

Almost surely, 2^{16644848745744} 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 16644848745744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24803309605074).

16644848745744 is an abundant number, since it is smaller than the sum of its proper divisors (32961770464404).

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

16644848745744 is a wasteful number, since it uses less digits than its factorization.

16644848745744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17976 (or 17924 counting only the distinct ones).

The product of its digits is 2312110080, while the sum is 72.

The spelling of 16644848745744 in words is "sixteen trillion, six hundred forty-four billion, eight hundred forty-eight million, seven hundred forty-five thousand, seven hundred forty-four".