16442241984 has 168 divisors, whose sum is σ = 53937456768. Its totient is φ = 4691151360.

The previous prime is 16442241979. The next prime is 16442241989. The reversal of 16442241984 is 48914224461.

16442241984 is a `hidden beast` number, since 16 + 442 + 2 + 4 + 198 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (16442241979) and next prime (16442241989).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×16442241984³ (a number of 32 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16442241989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3331999 + ... + 3336929.

Almost surely, 2^16442241984 is an apocalyptic number.

16442241984 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 16442241984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26968728384).

16442241984 is an abundant number, since it is smaller than the sum of its proper divisors (37495214784).

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

16442241984 is a wasteful number, since it uses less digits than its factorization.

16442241984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5783 (or 5770 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 16442241984 in words is "sixteen billion, four hundred forty-two million, two hundred forty-one thousand, nine hundred eighty-four".