44332531142112 has 384 divisors, whose sum is σ = 139669498644480. Its totient is φ = 13630190837760.

The previous prime is 44332531142089. The next prime is 44332531142131. The reversal of 44332531142112 is 21124113523344.

44332531142112 is a `hidden beast` number, since 4 + 4 + 3 + 3 + 2 + 531 + 1 + 4 + 2 + 112 = 666.

It is a super-2 number, since 2×44332531142112² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174028338 + ... + 174282894.

It is an arithmetic number, because the mean of its divisors is an integer number (363722652720).

Almost surely, 2^{44332531142112} 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 44332531142112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69834749322240).

44332531142112 is an abundant number, since it is smaller than the sum of its proper divisors (95336967502368).

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

44332531142112 is a wasteful number, since it uses less digits than its factorization.

44332531142112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254831 (or 254817 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 44332531142112 its reverse (21124113523344), we get a palindrome (65456644665456).

The spelling of 44332531142112 in words is "forty-four trillion, three hundred thirty-two billion, five hundred thirty-one million, one hundred forty-two thousand, one hundred twelve".