16442127679446 has 384 divisors, whose sum is σ = 44116027637760. Its totient is φ = 4327334668800.

The previous prime is 16442127679427. The next prime is 16442127679447. The reversal of 16442127679446 is 64497672124461.

16442127679446 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 2 + 127 + 67 + 9 + 446 = 666.

It is a super-3 number, since 3×16442127679446³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16442127679447) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 971691066 + ... + 971707986.

It is an arithmetic number, because the mean of its divisors is an integer number (114885488640).

Almost surely, 2^{16442127679446} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16442127679446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22058013818880).

16442127679446 is an abundant number, since it is smaller than the sum of its proper divisors (27673899958314).

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

16442127679446 is a wasteful number, since it uses less digits than its factorization.

16442127679446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17160 (or 17157 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 16442127679446 in words is "sixteen trillion, four hundred forty-two billion, one hundred twenty-seven million, six hundred seventy-nine thousand, four hundred forty-six".