84844884000 has 192 divisors, whose sum is σ = 290037646080. Its totient is φ = 21641523200.

The previous prime is 84844883983. The next prime is 84844884029. The reversal of 84844884000 is 48844848.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122296 + ... + 429704.

It is an arithmetic number, because the mean of its divisors is an integer number (1510612740).

Almost surely, 2^84844884000 is an apocalyptic number.

84844884000 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 84844884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145018823040).

84844884000 is an abundant number, since it is smaller than the sum of its proper divisors (205192762080).

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

84844884000 is a wasteful number, since it uses less digits than its factorization.

84844884000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307460 (or 307442 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 84844884000 in words is "eighty-four billion, eight hundred forty-four million, eight hundred eighty-four thousand".