84448943712 has 360 divisors, whose sum is σ = 299590852176. Its totient is φ = 22856587776.

The previous prime is 84448943647. The next prime is 84448943723. The reversal of 84448943712 is 21734984448.

84448943712 is a `hidden beast` number, since 84 + 44 + 89 + 437 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6543538 + ... + 6556430.

Almost surely, 2^84448943712 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 84448943712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149795426088).

84448943712 is an abundant number, since it is smaller than the sum of its proper divisors (215141908464).

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

84448943712 is a wasteful number, since it uses less digits than its factorization.

84448943712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12960 (or 12924 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 84448943712 in words is "eighty-four billion, four hundred forty-eight million, nine hundred forty-three thousand, seven hundred twelve".