84463788736448 has 112 divisors (see below), whose sum is σ = 185855108604000. Its totient is φ = 37760654131200.

The previous prime is 84463788736429. The next prime is 84463788736451.

84463788736448 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 714228428 + ... + 714346676.

Almost surely, 2^{84463788736448} is an apocalyptic number.

84463788736448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84463788736448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92927554302000).

84463788736448 is an abundant number, since it is smaller than the sum of its proper divisors (101391319867552).

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

84463788736448 is a wasteful number, since it uses less digits than its factorization.

84463788736448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134966 (or 134956 counting only the distinct ones).

The product of its digits is 16647192576, while the sum is 80.

The spelling of 84463788736448 in words is "eighty-four trillion, four hundred sixty-three billion, seven hundred eighty-eight million, seven hundred thirty-six thousand, four hundred forty-eight".