444277634112 has 336 divisors, whose sum is σ = 1385120318400. Its totient is φ = 135339724800.

The previous prime is 444277634107. The next prime is 444277634113. The reversal of 444277634112 is 211436772444.

444277634112 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 7 + 7 + 634 + 1 + 1 + 2 = 666.

It is a super-2 number, since 2×444277634112² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (444277634113) 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, 547814187 + ... + 547814997.

It is an arithmetic number, because the mean of its divisors is an integer number (4122381900).

Almost surely, 2^444277634112 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 444277634112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692560159200).

444277634112 is an abundant number, since it is smaller than the sum of its proper divisors (940842684288).

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

444277634112 is a wasteful number, since it uses less digits than its factorization.

444277634112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1469 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The spelling of 444277634112 in words is "four hundred forty-four billion, two hundred seventy-seven million, six hundred thirty-four thousand, one hundred twelve".