16844641920 has 384 divisors, whose sum is σ = 59425591680. Its totient is φ = 4396032000.

The previous prime is 16844641897. The next prime is 16844641927. The reversal of 16844641920 is 2914644861.

16844641920 is a `hidden beast` number, since 16 + 8 + 446 + 4 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×16844641920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (16844641927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93064230 + ... + 93064410.

It is an arithmetic number, because the mean of its divisors is an integer number (154754145).

Almost surely, 2^16844641920 is an apocalyptic number.

16844641920 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 16844641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29712795840).

16844641920 is an abundant number, since it is smaller than the sum of its proper divisors (42580949760).

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

16844641920 is a wasteful number, since it uses less digits than its factorization.

16844641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 16844641920 in words is "sixteen billion, eight hundred forty-four million, six hundred forty-one thousand, nine hundred twenty".