84944808000 has 896 divisors, whose sum is σ = 339498432000. Its totient is φ = 20792678400.

The previous prime is 84944807989. The next prime is 84944808059. The reversal of 84944808000 is 80844948.

84944808000 is a `hidden beast` number, since 8 + 4 + 94 + 480 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 474551911 + ... + 474552089.

It is an arithmetic number, because the mean of its divisors is an integer number (378904500).

Almost surely, 2^84944808000 is an apocalyptic number.

84944808000 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 84944808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169749216000).

84944808000 is an abundant number, since it is smaller than the sum of its proper divisors (254553624000).

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

84944808000 is a wasteful number, since it uses less digits than its factorization.

84944808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 84944808000 in words is "eighty-four billion, nine hundred forty-four million, eight hundred eight thousand".