84848444400 has 480 divisors, whose sum is σ = 306681085440. Its totient is φ = 19944714240.

The previous prime is 84848444327. The next prime is 84848444411. The reversal of 84848444400 is 444484848.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 84848444400.

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 95 ways as a sum of consecutive naturals, for example, 19400614 + ... + 19404986.

It is an arithmetic number, because the mean of its divisors is an integer number (638918928).

Almost surely, 2^84848444400 is an apocalyptic number.

84848444400 is a gapful number since it is divisible by the number (80) 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 84848444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153340542720).

84848444400 is an abundant number, since it is smaller than the sum of its proper divisors (221832641040).

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

84848444400 is a wasteful number, since it uses less digits than its factorization.

84848444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4473 (or 4462 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 48.

The spelling of 84848444400 in words is "eighty-four billion, eight hundred forty-eight million, four hundred forty-four thousand, four hundred".