16442023616100 has 108 divisors (see below), whose sum is σ = 51562015310260. Its totient is φ = 4382378208000.

The previous prime is 16442023616099. The next prime is 16442023616231. The reversal of 16442023616100 is 161632024461.

16442023616100 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 2 + 0 + 2 + 36 + 1 + 610 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2673931366656 + 13768092249444 = 1635216^2 + 3710538^2 .

It is a super-3 number, since 3×16442023616100³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2675851 + ... + 6328050.

Almost surely, 2^{16442023616100} is an apocalyptic number.

16442023616100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16442023616100 is an abundant number, since it is smaller than the sum of its proper divisors (35119991694160).

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

16442023616100 is a wasteful number, since it uses less digits than its factorization.

16442023616100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9005950 (or 9005940 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 16442023616100 in words is "sixteen trillion, four hundred forty-two billion, twenty-three million, six hundred sixteen thousand, one hundred".